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Write the set 'X={1, 1/4, 1/9, 1/16, 1/2...

Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder form.

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We observe that the elements of set .dotX. are the reciprocals of the squares of all natural numbers. :
So, the set .X. in set builder form is .{X=1/n^2: n in N}.
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V PUBLICATION-SETS-QUESTION BANK
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  2. Write the set 'A={ x: x in Z, x^2 < 20}' in the roster form.

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  3. Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder for...

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  4. Match each of the set in A described in the roster form with the same ...

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  5. A town has total population. 25000 out of which 13000 read ''The Hindu...

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  6. In a class of 60 boys, there are 45 boys who play cards and 30 boys pl...

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  7. Match each of the set in the roster form with the same set described...

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  8. Describe the following sets by roster method: (i) {x: x^2+5 x+6=0, x...

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  9. Assume that P (A) = P (B).Show that A = B

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  10. Find the smallest set 'Y' such that 'Y ⋃ {1,2}={1,2,3,5,9'}

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  11. If A={1,2,3,4}, B={1,4,5 ,6}, C={4,5,7,8,9} verify that (A uu B) uu C=...

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  12. Show that if A sub B, then C- B sub C - A

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  13. Show that A cap B = A cap C need not imply B = C

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  14. If A={4,5,8,12}, B={1,4,6,9} and C={1,2,4,7,8,10}, then find (i) A...

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  15. Let U={1,2,3,.. ., 10} be the universal set. If A={3,4,6,8}, find A^pr...

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  16. Find A' for A={3,6,7,8}, where universal set 'U' is given by : (i) ...

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  17. Let X={1,2,3,..., 12}, A={4,5,9,11} , B={1,2,4,5,8,9,10, 11,12} Verify...

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  18. Show the following by Venn diagrams: (i) A uu B, A nn B, A-B, B-A, whe...

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  19. Prove that A uuB=A nn B if A=B.

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  20. Let 'A' and 'B' be two finite set such 'that n(A-B)=15, n(A ⋃ B)=90, n...

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