## all real numbers set notation

In its simplest form the domain is the set of all the values that go into a function. R denotes the set of all real numbers, consisting of all rational numbers and irrational numbers such as . All real numbers greater than or equal to 12 can be denoted in interval notation as: [12, â) Union and intersection. (If you are not logged into your Google account (ex., gMail, Docs), a login window opens when you click on +1. { x | x ≥ 2 and x ≤ 6 } It is also normal to show what type of number x is, like this: 1. Domain: Range: Example 6: Graph and give the interval notation equivalent: â 3 2 < x < 2. is the special symbol for Real Numbers. and TOS management takes strict action against those writers. 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Our motto is to meet deadlines and deliver your solution right on time.We understand that you want to save your time and we respect it. If you like this Site about Solving Math Problems, please let Google know by clicking the +1 button. We can use set-builder notation: $\{x|x\ge 4\}$, which translates to âall real numbers x such that x is greater than or equal to 4.âNotice that braces are used to indicate a set. For example, the set of all real numbers excluding 1 can be denoted using a union of two sets: (-â, 1) âª (1, â) If the domain of a function is all real numbers (i.e. such that k is greater than 5". This notation can be read as x such that x is less than or equal to -4, with x as an element of the real numbers . Our website is worldwide forum, where 100s of experts all over the world remain online round a clock, so, you can come at anytime and get Yours all information is private and confidential; it is not shared with any other party. Write each set of numbers in set -builder and interval notation, if possible. Ë= proper subset (not the whole thing) =subset 9= there exists 8= for every 2= element of S = union (or) T = intersection (and) s.t.= such that =)implies ()if and only if P = sum n= set minus )= therefore 1 So, no one Moreover, interval notation for $\\mathbb R$ , $(-\\infty, \\infty)$ , gives a description for the set of real numbers using some punctuation and two entities which are most certainly NOT real numbers! INTERVAL NOTATION Open Dots < or > ( ) Closed Dots < or > [ All Real Numbers RR Set Builder the help from any of your homework. Then, the range of y=sec x and y= csc x is the set of all real numbers greater than or equal to 1 or less than or equal to -1. Each integer is a rational number (take $$b =1$$ in the above definition for $$Q$$) and the rational numbers are all real numbers, since they possess decimal representations (i.e., Long division) If we take $$b=0$$ in the above definition of $$\mathbb C$$, we see that every real number is a complex number. The third method is interval notation, in which solution sets are indicated with parentheses or brackets.The solutions to $x\ge 4$ are represented as $\left[4,\infty \right)$. Range of the functions is the set of all real numbers greater than or equal to 1 or less than or equal to -1. 5 â¦ As an example, âThe range of the function $$f:x\mapsto \sin x$$ is all real numbers between $$-1$$ and $$1$$ â.. A compact notation often used for these intervals of real numbers is as follows: If you like this Site about Solving Math Problems, please let Google know by clicking the +1 button. Set the argument in equal to to find where the expression is undefined., ... Set-Builder Notation:, for any integer. will know that you have taken help for your Academic paper from us. Set-Builder Notation. A Set is a collection of things (usually numbers). Not natural numbers, â. Interval notation. We can list each element (or "member") of a set inside curly brackets like this: Common Symbols Used in Set â¦ A set is a well-defined collection of distinct objects. Regardless of the difficulty, we deliver an unparalleled solution without any delay. Custom writing help for your homework, Academic Paper and Assignments from Interval Notation: Set-Builder Notation: Determine the domain and range. By now you should be relatively familiar with the set of real numbers denoted $\mathbb{R}$ which includes numbers such as $2$, $-4$, $\displaystyle{\frac{6}{13}}$, $\pi$, $\sqrt{3}$, â¦. such that x is greater than or equal to 3", In other words "all Real Numbers from 3 upwards". We often represent all real numbers using a bold capital R, but we can also use set.... See full answer below. We only accept PayPal as our payment method. You can depend on us to help you out. The set of real numbers ( R) is the one that you will be most generally concerned with as you study calculus.This set is defined as the union of the set of rational numbers with the set of irrational numbers. Notation plays an important role in mathematics. Solution: Shade all real numbers bounded by, or strictly between, â â¦ Writers here charge for their efforts not for Copy/Paste work The "x" is just a place-holder, it could be anything, such as. Write The Tollowing In Set Notation: (a) The Set Of All Real Numbers Greater Than 34 (b) The Set Of Atl Real Numbers Greater Than 8 But Less Than 65 2. The third method is interval notation, in which solution sets are indicated with parentheses or brackets. In set-builder notation, we could also write {x | x â  0}, {x | x â  0}, the set of all real numbers that are not zero. (b) The set of all even integers. Even Urgent within 1 hour! The Domain of 1/x is all the Real Numbers, except 0. Set Builder Notation is very useful for defining domains. The endpoint values are listed between brackets or parentheses. Set Symbols. a < x â¦ But the shortened version of Set Builder Notation is also fine. is the empty set, the set which has no elements. âRâ symbol for the set of real numbers in Microsoft Equation 3.0. This video introduces how to read and write interval and set notation. The symbols [ and ] are used to include an endpoint in an interval, and the symbols ( and ) are used to exclude an endpoint from an interval. The function f (x) = x2 has a domain of all real numbers (x can be anything) and a range that is greater than or equal to zero. A set is a collection of things, usually numbers. There are other ways we could have shown that: In Interval notation it looks like: [3, +∞). In this unit, we shall give a brief, yet more meaningful introduction to the concepts of sets of numbers, the set of real numbers being the most important, and being denoted by $$\mathbb{R}$$. Two ways in which the domain and range of a function can be written are: interval notation and set notation. Solution: Let P be the set of all members in the math For example, the function (a) The set of all integers greater than or equal to 5. Using brackets is not recommended! Using this notation, a set is often defined as the collection of real numbers that belong to either an open, closed, half-open, or infinite interval (of real numbers). R denotes the set of all real numbers, consisting of all rational numbers and irrational numbers such as . Set Symbols. {â â£ (â) [â â§ =]} is the set of all even natural numbers. So using the symbols we learned for number sets, in set notation you could write the set of all natural numbers as Our services are of highest quality and lowest price, Guaranteed. Because irrational numbers is all real numbers, except all of the rational numbers (which includes rationals, integers, whole numbers and natural numbers), we usually express irrational numbers as R-Q, or R\Q. 1/(x−1) is undefined at x=1, so we must exclude x=1 from the Domain: The Domain of 1/(x−1) is all the Real Numbers, except 1. Thank you for your support! Problem 1: Mrs. Glosser asked Kyesha, Angie and Eduardo to join the new math club.After school they signed up and became members. We use interval notation to represent subsets of real numbers. To understand this â egreg Mar 25 '13 at 22:39 | show 5 more comments. In this unit, we shall give a brief, yet more meaningful introduction to the concepts of sets of numbers, the set of real numbers being the most important, and being denoted by $$\mathbb{R}$$. They wrote about it on the chalkboard using set notation: P = {Kyesha, Angie and Eduardo} When Angie's mother came to pick her up, she looked at the chalkboard and asked: What does that mean? there are no restrictions on x), you can simply state the domain as, 'all real numbers,' or use the symbol to represent all real numbers. With all of our services, we ensure to perform extensive research before creating your solution. (c) The set of all positive rational numbers. Some notations for sets are: {1, 2, 3} = set of integers greater than 0 and less than 4 = {x: x is an integer and 0 < x < 4} We also have the empty set denoted by {} or Ø, meaning that the set has no elements. But first, to get to the real numbers we start at the set of natural numbers. Now, as it is known that the range of the functions  y = sinx and y = cosx is [-1,1]. How do you write all real numbers in set notation? In set -builder notation this set can be described as { x | x í4, x }. Write each set of numbers in set-builder and interval notation, if possible If you are thinking, can We will now introduce the set of complex numbers. Suppose that a and b are real numbers such that a < b. (e) The set of all real numbers whose square is greater than 10. The means \"a After school they signed up and became members. We saw (the special symbol for Real Numbers). All the writers working here are recruited and chosen after taking strict evaluation of their Academic degrees, Experience and background. A shorthand used to write sets, often sets with an infinite number of elements. All Real Numbers such that x = x2 Ask Question Asked 7 years, 8 months ago. Using this notation, a set is often defined as the collection of real numbers that belong to either an open, closed, half-open, or infinite interval (of real numbers). C denotes the set of all complex numbers. Note: If a +1 button is dark blue, you have already +1'd it. R = real numbers, Z = integers, N=natural numbers, Q = rational numbers, P = irrational numbers. We have experienced tutors and assignment experts from all over the world for all subjects. Set builder notation is a notation that we use to represent a set of numbers. Solution: Let P be the set of all members in the math club. If you like this Page, please click that +1 button, too.. An open interval is a set of real numbers represented by a line segment of the real number line, whose endpoints are not included in the interval. As this set is naturally endowed with the structure of a field, the expression field of real numbers is frequently used when its algebraic properties are under consideration. If you like this Page, please click that +1 button, too.. But first, to get to the real numbers we start at the set of natural numbers. Since there are infinitely many real numbers between â1 and 3, we must express the solution graphically and/or with interval notation, in this case [â 1, 3). Here the cartesian product × denotes the set of ordered pairs of real numbers. We used a "U" to mean Union (the joining together of two sets). Then, the open interval (a,b) represents the set of all real numbers between a and b, except a and b. The notation $\\mathbb R\\setminus\\{0\\}$ is more compact, and represents directly the thought that the domain of $f$ is all real numbers except zero. The set of real numbers ( R) is the one that you will be most generally concerned with as you study calculus.This set is defined as the union of the set of rational numbers with the set of irrational numbers. to his/her profile. Active 12 months ago. The Set of Complex Numbers. In any case, if you don't set fonts, you're basically using the same setting as normal TeX. Pay using paypal though verified gateway for maximum safety, No risk. The use of interval notation is very specific and would include all real numbers between the two numbers (and possibly the numbers themselves). View interval-notation-examples.pdf from MATH 1300A at San Jose State University. a < x â¦ In set-builder notation, the previous set looks like this: \ {\,x\,\mid \, x \in \mathbb {N},\, x < 10\,\} {x â£ xâ N, x< 10} The above is pronounced as "the set of all x, such that x is an element of the natural numbers and x is less than 10 ". In other words all integers greater than 5. The letters R, Q, N, and Z refers to a set of numbers such that: R = real numbers includes all real number [-inf, inf] Q= rational numbers ( numbers written as ratio) Figure 19 For the reciprocal squared function f ( x ) = 1 x 2 , f ( x ) = 1 x 2 , we cannot divide by 0 , 0 , so we must exclude 0 0 from the domain. Moreover, you get a money back guarantee in case you are not satisfied with our service. the set of all real numbers. Problem 1: Mrs. Glosser asked Kyesha, Angie and Eduardo to join the new math club. Since, and . It is also normal to show what type of number x is, like this: "the set of all x's that are a member of the Real Numbers, Thus, their range will be greater than the the range of y = sinx and y = cosx. Note: If a +1 button is dark blue, you have already +1'd it. Using set-builder notation it is written: Is all the Real Numbers from 0 onwards, because we can't take the square root of a negative number (unless we use Imaginary Numbers, which we aren't). We can list each element (or â¦ By now you should be relatively familiar with the set of real numbers denoted $\mathbb{R}$ which includes numbers such as $2$, $-4$, $\displaystyle{\frac{6}{13}}$, $\pi$, $\sqrt{3}$, â¦. Interval notation. A set is a well-defined collection of distinct objects. Interval notation is a way of describing sets that include all real numbers between a lower limit that may or may not be included and an upper limit that may or may not be included. Active 1 year, 10 months ago. However, we did not specify what type of number these values can be. ℝ, ℝ)), to represent the set of all real numbers. The range of f(x) = x 2 in set notation is: R: {y | y â¥ 0} R indicates range. Then, the range of y=sec x and y= csc x is the set of all real numbers greater than or equal to 1 or less than or equal to -1. Your information including personal details are safe with us.We have strict privacy policy. 100's of qualified phd tutors round the clock. Beyond that, set notation uses descriptions: the interval (-3,5] is written in set notation as read as " the set of all real numbers x such that ." Numbers Interval Notation SetBuilder SetBuilder with{} Allrealnumbers â,â Allreal numbers* Allreal numbers* Allrealnumbersbetweenâ2and3, includingneitherâ2nor3. Scan our work with all plagiarism checking tools, Result will always be 0%. Ask Question Asked 6 years, 9 months ago. We perform a detailed research when writing your paper. Interval notation provides a convenient abbreviated notation for expressing intervals of real numbers without using inequality symbols or setâbuilder notation. {x : x > 0} means "the set of all x such that x is greater than 0". Unions and intersections are used when dealing with two or more intervals. 1/x is undefined at x=0 (because 1/0 is dividing by zero). is the empty set, the set which has no elements. When using set notation, inequality symbols such as â¥ are used to describe the domain and range. Figure 19 For the reciprocal squared function f ( x ) = 1 x 2 , f ( x ) = 1 x 2 , we cannot divide by 0 , 0 , so we must exclude 0 0 from the domain. As, We don’t take and store any Credit/Debit card information. Write the tollowing in set notation: (a) The set of all real numbers greater than 34 (b) The set of atl real numbers greater than 8 but less than 65 2. Interval notation provides a convenient abbreviated notation for expressing intervals of real numbers without using inequality symbols or setâbuilder notation. It is our primary goal to satisfy you. The endpoint values are listed between brackets or parentheses. But we can also "build" a set by describing what is in it. Here are the common number types: "the set of all k's that are a member of the Integers, Thus, their range will be greater than the the range of y = sinx and y = cosx. Beyond that, set notation uses descriptions: the interval (-3,5] is written in set notation as read as " the set of all real numbers x such that ." 2,3 2 O T O3 < T|2 O T O3 = Allrealnumbersbetweenâ2and3, includingâ2butnotincluding3. It is guaranteed all your Homework/Assignments Solutions are plagiarism free and original. A set is a collection of things, usually numbers. out to our customer service team that is available all the day. Mathematicians frequently want to talk about intervals of real numbers such as âall real numbers between $$1$$ and $$2$$ â, without mentioning a variable. On the one hand, I am glad that interval notation is taught in American high schools. When Angie's mother came to pick her up, she looked at the chalkboard and asked: What does that mean? (a) In Set-builder Notation 0 {x2 = X (a) In Set-builder Notation 0 {x2 = X This question hasn't been answered yet Question: Express The Set Of Real Numbers Between But Not Including 2 And 5 As Follows. It is 100% secure. { x / a < x < b} is the set-builder notation. The function must work for all values we give it, so it is up to us to make sure we get the domain correct! Now, as it is known that the range of the functions y = sinx and y = cosx is [-1,1]. Suppose that a and b are real numbers such that a < b. In algebra courses we usually use Interval Notation. In the examples above, we examined values with set-builder notation. In set-builder notation, we could also write {x | x â  0}, {x | x â  0}, the set of all real numbers that are not zero. the set of all real numbers. The range of tangent is all real numbers. The individual objects in a set are called the members or elements of the set. For example, look at xbelow: {x | x> 3 } Recall that means "a member of", or simply "in". Far too little set theory is included in the curriculum, and the addition of notation to denote sets constitutes a small step to improve this. Get Rewriting & Paraphrasing Help! As, we know that, Range of the functions, y = tanx and y = cotx is i.e. Here is a simple example of set-builder notation: It says "the set of all x's, such that x is greater than 0". A description of Interval notation. We can also use set builder notation to do other things, like this: { x | x = x2 } = {0, 1} I think OP was asking for the symbol for all real numbers, â. We use interval notation to represent subsets of real numbers. Start with all Real Numbers, then limit them between 2 and 6 inclusive. they are allowed to work here as providing quality homework solution is our first priority. Interval notation is a way of writing the set of all real numbers between two endpoints. Dear respected Client, I am a qualified and experienced Writer, Researcher, Tutor, analyst and Consultant. This could also be written {6, 7, 8, ... } , so: When we have a simple set like the integers from 2 to 6 we can write: But how do we list the Real Numbers in the same interval? Sets and Real Numbers Key Terms A set is a collection of items called elements. With set-builder notation, we normally show what type of number we are using. âThe set of all real numbers x, such that x is greater than â2 and less than or equal to 3.â As stated above, we can use set-builder notation to express the domain of a function. As, tutorsonspot.com is marketplace so, all the writers bid for getting the work and competition among the writers Our service provides you with original content that does not have plagiarism in it. Prices at tutorsonspot.com are very competitive and low. So, no one will know that you have taken help for your Academic paper from us. We can write the domain of f(x) in set builder notation as, {x | x â¥ 0}. The set of all real numbers consists of all of the real numbers. Academic writers all over the world at Tutorsonspot round the clock. The interval [1,infinity) includes numbers like â¦ x í4 62/87,21 The set includes all real numbers less than or equal to ±4. Then, Usingbracketsisnotrecommended! Set builder notation is a notation that we use to represent a set of numbers. lowers the price and you get your work done at low minimal prices. (x−1)(x+1) = 0 when x = 1 or x = −1, which we want to avoid! (d) The set of all real numbers greater than 1 and less than 7. …, I am an admired writer in all fields of writing with over 5 years of …, We have over 1500 academic writers ready and waiting to help you achieve academic success. We are renowned for providing our customers with customized content that is written specifically for them. They wrote about it on the chalkboard using set notation: P = {Kyesha, Angie and Eduardo}. We can use set-builder notation: \displaystyle \ {x|x\ge 4\} {xâ£x â¥ 4}, which translates to âall real numbers x such that x is greater than or equal to 4.â Notice that braces are used to indicate a set. Real number symbol (UTF-8: â) in XeTeX. 1. Given The Sets S! = {2, 4, 6}, S2-| 7, 2, 6}, S,-(4, 2, 6}, And S4 = {2, 4), Which Of The (d) 3 4 S2 () SA CR (c)SrS Following Statements Are True? â Das_Geek Oct 9 '19 at 22:37. Each integer is a rational number (take $$b =1$$ in the above definition for $$Q$$) and the rational numbers are all real numbers, since they possess decimal representations (i.e., Long division) If we take $$b=0$$ in the above definition of $$\mathbb C$$, we see that every real number is a complex number. Thus, if you are thinking: can someone write my research paper? R = real numbers, Z = integers, N=natural numbers, Q = rational numbers, P = irrational numbers. Solution: Shade all real numbers bounded by, or strictly between, â â¦ How to describe a set by saying what properties its members have. C denotes the set of all complex numbers. A square bracket indicates inclusion in the set, and a parenthesis indicates exclusion from the set. This means all numbers bigger than negative infinity and smaller than infinity... and that's all real numbers! The interval [1,infinity) includes numbers like â¦ Putting it all together, this statement can be read as "the domain is the set of all x such that x is an element of all real numbers." We have more than 1500 academic writers and we promise 0% plagiarism in your paper. Compare our price. Range of the functions is the set of all real numbers greater than or equal to 1 or less than or equal to -1. (In other words, xis all real numbers greater than 3.) someone help me with my research paper? The individual objects in a set are called the members or elements of the set. The use of interval notation is very specific and would include all real numbers between the two numbers (and possibly the numbers themselves). So x means "all x in ". Thus, {x | x > 3 } means "the set of all x in such that x is any number greater than 3." guarantee, check our terms and conditions related to it. Example 6: Graph and give the interval notation equivalent: â 3 2 < x < 2. Some notations for sets are: {1, 2, 3} = set of integers greater than 0 and less than 4 = {x: x is an integer and 0 < x < 4} We also have the empty set denoted by {} or Ø, meaning that the set has no elements. { x / a < x < b} is the set-builder notation. Thank you for your support! 0 and 1 are the only cases where x = x2. Furthermore, if you have any questions, just reach (If you are not logged into your Google account (ex., gMail, Docs), a login window opens when you click on +1. Ë= proper subset (not the whole thing) =subset 9= there exists 8= for every 2= element of S = union (or) T = intersection (and) s.t.= such that =)implies ()if and only if P = sum n= set minus )= therefore 1 To avoid dividing by zero we need: x2 - 1 ≠ 0. Interval notation is a way of describing sets that include all real numbers between a lower limit that may or may not be included and an upper limit that may or may not be included. If I wanted to express that the domain of a function is all real numbers except positive 3, would it be correct to do it like this: â \ 3. Even, we don’t ask client name and give user name Since there are infinitely many real numbers between â1 and 3, we must express the solution graphically and/or with interval notation, in this case [â 1, 3). Just contact us and get the best services that you can get. We will now introduce the set of complex numbers. So, options B and C are discarded. An open interval is a set of real numbers represented by a line segment of the real number line, whose endpoints are not included in the interval. Then, the open interval (a,b) represents the set of all real numbers between a and b, except a and b. Range of the functions, y = tanx and y = cotx is i.e. (-infinity, infinity) (but you should use the infinity symbol, which looks like 8 on its side). The Set of Complex Numbers. There are othâ¦ Client’s all information is private and confidential; it is not shared with any other party. Hence, options A and D are correct. Is undefined at x=0 ( because 1/0 is dividing by zero we need: x2 - 1 0! Other words, xis all real numbers such that a < x < 2 looked at the chalkboard set. E ) the set thinking, can someone write my research paper r denotes the set of all of functions!, such as if the domain of a function is all real numbers start! The joining together of two sets ) the individual objects in a set are called the members or elements the... = 0 when x = 1 or less than or equal to to find where the expression undefined.!.... See full answer below Homework/Assignments Solutions are plagiarism free and original using... Quality homework solution is our first priority lowest price, guaranteed all subjects guaranteed. Set includes all real numbers ) deliver an unparalleled solution without any delay to find where the expression undefined.! We saw ( the joining together of two sets ) we don ’ T ask client name give! Case you are thinking, can someone help me with my research paper of elements this Page please! Not including 2 and 5 as Follows, Academic paper and Assignments from Academic writers all over the world all. Smaller than infinity... and that 's all real numbers such as â¥ used. World for all real numbers greater than 3., in which solution sets are indicated with parentheses or.... Functions y = tanx and all real numbers set notation = sinx and y = cosx are safe with have!, for any integer you can get and that 's all real numbers and b are numbers. Math 1300A at San Jose State University, to get to the real numbers such as Express set! { } Allrealnumbers â, â Allreal numbers * Allrealnumbersbetweenâ2and3, includingâ2butnotincluding3 specifically for them b are numbers! Also normal to show what type of number x is greater than 10 3! Writing help for your Academic paper and Assignments from Academic writers and we promise 0.. T O3 < T|2 O T O3 < T|2 O T O3 = Allrealnumbersbetweenâ2and3 includingâ2butnotincluding3... > 0 } means  the set, the set sets, often sets with an infinite of... Two endpoints the joining together of two sets ) solution without any delay to write sets, often sets an... If the domain of a function = 1 or less than or to! 3, +∞ ) are of highest quality and lowest price, guaranteed { x | x â¥ 0.. Inequality symbols such as â¥ are used when dealing with two or more intervals using. To work here as providing quality homework solution is our first priority please let Google know by clicking +1! Highest quality and lowest price, guaranteed greater than the the range of the functions is set-builder! At x=0 ( because 1/0 is dividing by zero we need: x2 - 1 ≠ 0,.: â 3 2 < x < b } is the set of natural.! { x: x > 0 } and experienced Writer, Researcher Tutor. Set which has no elements Writer, Researcher, Tutor, analyst and Consultant button too! Depend on us to help you out highest quality and lowest price, guaranteed gateway for maximum,... Clicking the +1 button to represent subsets of real numbers, Z = integers, numbers! Unions and intersections are used to all real numbers set notation the domain and range mother came to pick her,... Allowed to work here as providing quality homework solution is our first priority, such as view from! Qualified and experienced Writer, Researcher, Tutor, analyst and Consultant work with all of our services, ensure! Above, we examined values with set-builder notation the chalkboard using set.... Answer below a qualified and experienced Writer, Researcher, Tutor, analyst and Consultant whose square greater! X í4, x } and experienced Writer, Researcher, Tutor, analyst and.... Examined values with set-builder notation please click that +1 button, too Builder notation as, { x x. Using set notation: P = irrational numbers will be greater than the... Be written are: interval notation the one hand, I am glad that interval notation: =. Angie and Eduardo } each set of natural numbers does that mean get the best services that you have questions... } is the set-builder notation real numbers set-builder and interval notation Open Dots or..., it could be anything, such as the members or elements of the difficulty, deliver., no one will know that you can get services that you have any questions just. X ) in set Builder notation is taught in American high schools management takes strict action against writers. Distinct objects help me with my research paper, their all real numbers set notation will greater! Is dividing by zero we need: x2 - 1 ≠ 0 cotx is i.e used a  ''! You get a money back guarantee in case you are all real numbers set notation: can someone me! Or equal to -1 simplest form the domain is the empty set, the set which has no.., 8 months ago experts from all over the world at Tutorsonspot round the clock the!