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In each of the following , determine whe...

In each of the following , determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If ` x in A` and `A in B `then `x in B`

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V PUBLICATION-SETS-QUESTION BANK
  1. For any sets 'A' and 'B', show that P(A nn B)=P(A) nn P(B)

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  2. Decide, among the following sets, which, sets are subsets of one and a...

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  3. In each of the following , determine whether the statement is true or ...

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  4. Let A,B and C be the sets such that A cup B = A cup C and A cap B = A ...

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

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  6. Show that the following four conditions are equivalent: i) A sub B i...

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

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  8. Is it true that for any sets A and B , P (A) cup P (B) = P(A cup B)? J...

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  9. Show that for any sets A and B. A=(A cap B) cup (A - B) and A cup(B - ...

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  10. Using properties of sets, show that i) 'A ⋃(A ⋂ B)=A' ii) 'A ⋂(A ⋃ B)=...

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

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  12. Let A and B be sets. If A cap X = B cap X = phi and A cup X = B cup X ...

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  13. Find sets A,B and C such that A cap B,B cap C and A cap C are non-empt...

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  14. In a survey of 600 students in a school,150 students were found to be ...

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  15. In a group of students, 100 students know Hindi, 50 know English and 3...

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  16. In a suryey of 60 people, it was.found that 25 people read newspaper' ...

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  17. In a survey it was found that 21 people liked product A,26 liked produ...

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  18. In a class of 35 students, 17 have taken mathematics, 10 have taken mä...

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  19. In a group of 800 people, 550 can speak Hindi and 450 can speak Englis...

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  20. If 'A' and 'B' ' be two sets containing 3 and 6 elements respectively,...

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