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Let A and B be sets. If A nn X = B nn X ...

Let A and B be sets. If `A nn X = B nn X =phi` and `A uu X = B uu X` for some set X, show that A = B. (Hints `A = A nn (A uu X)`, `B=B nn (B uu X)` and use Distributive law )

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PSEB-SETS-EXERCISE
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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. 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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  6. Show that the following four conditions are equivalent : (i) A sub B (...

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. In a survey of 600 students in a school, 150 students were found to be...

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

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  18. In a survey of 60 people, it was found that 25 people read newspaper H...

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  19. In a survey of 60 people, it was found that 25 people read newspaper H...

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  20. In a survey it was found that 21 people liked product A, 26 liked prod...

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