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In the following, determine whether the ...

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

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PSEB-SETS-EXERCISE
  1. Decide, among the following sets, which sets are subsets of one and an...

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  2. In the following, determine whether the statement is true or false. If...

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  3. In the following, determine whether the statement is true or false. If...

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  4. In the following, determine whether the statement is true or false. If...

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  5. In the following, determine whether the statement is true or false. If...

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  6. In the following, determine whether the statement is true or false. If...

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  7. In the following, determine whether the statement is true or false. If...

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  8. Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A n...

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

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

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

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  12. Is it true that for any sets A and B, P(A) uu P(B) = P(A uu B)? Justif...

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  13. Show that for any sets A and B, A = ( A nn B) uu ( A -B ) and A uu (B-...

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  14. Using properties of sets, show that A uu ( A nn B)=A

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  15. Using properties of sets, show that A nn (A uu B)=A

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  16. Show that A nn B = A nn C need not imply B = C.

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  17. Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for s...

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  18. Find sets A, B and C such that A nn B, B nn C and A nn C are non-empty...

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

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  20. In a group of students, 100 students know Hindi, 50 know English and 2...

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