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Write the set {1/2,2/3,3/4,4/5,5/6,6/7}i...

Write the set `{1/2,2/3,3/4,4/5,5/6,6/7}`in the setbuilder form.

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AI Generated Solution

To express the set \(\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}\) in set-builder form, we can follow these steps: ### Step 1: Identify the Pattern First, we observe the elements of the set: \[ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \] We notice that each element can be expressed in the form of \(\frac{P}{Q}\) where \(P\) and \(Q\) are integers. ...
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NCERT-SETS-SOLVED EXAMPLES
  1. Write the set {x : x i s a positive integer and x^2< 40}in the roster ...

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  2. Write the set A = {1, 4, 9, 16 , 25 , . . . }in set builder form.

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  3. Write the set {1/2,2/3,3/4,4/5,5/6,6/7}in the setbuilder form.

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  4. Match each of the set on the left described in the roster form with t...

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  5. If A xx B = {(p, q), (p, r), (m, q), (m, r)}, Find A and B

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  6. Find the pairs of equal sets, if any, give reasons: A = {0}, B = {x :...

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  7. The Fig 2.6 shows a relation between the sets P and Q. Write tins rel...

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  8. Consider the sets phi, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9...

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  9. Let A = {a , e , i , o, u}and B = {a , i , u}.Show that AuuB = A

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  10. Let A = {2, 4, 6, 8}and B = {6, 8, 10 , 12}dotFind Auu Bdot

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  11. Let A, B and C be three sets. If A in Band BsubC. is it true that A...

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  12. Let A = { a , e , i , o, u}and B = { a , b , c , d)dotIs A a subset of...

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  13. let f(x) = sqrtx and g(x) =x be function defined over the set of non n...

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  14. Consider the sets X and Y . Find Xnn Y Let X = {Ram, Geeta, Akbar} ...

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  15. Let X = {Rani, Geeta, Akbar} be the set of students of Class XI who a...

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  16. Let V = {a , e , i , o, u}and B = {a , i , k , u}. Find V - B and B - ...

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  17. Let A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8}. Find A - B a n d B - A.

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  18. Show that the set of letters needed to spell “CATARACT” and the set o...

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  19. List all the subsets of the set {1, 0, 1 }dot

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  20. In a survey of 400 students in a school, 100 were listed as taking ap...

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