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If A, B and C are any three sets, then p...

If A, B and C are any three sets, then prove that : `A nn (B-C) = (A nn B)-(A nn C)`.

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MODERN PUBLICATION-SETS-EXERCISE
  1. For sets A,B and C, prove that : A-(B-C)=(A-B) uu(A nn C).

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  2. For sets A,B and C, prove that : A-(B uu C)=(A-B) nn (A-C).

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  3. If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn...

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  4. If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn...

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  5. For sets A,B and C, prove that : (A-B)nn C=(A nn C)-B.

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  6. If A and B are subsets of the universal set U, then show that : B su...

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  7. If A and B are subsets of the universal set U, then show that : (A n...

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  8. If A and B are subsets of the universal set U, then show that : (A n...

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

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

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  11. If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn...

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  12. Prove that : (A uu B)-C=(A-C) uu (B-C).

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  13. If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn...

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  14. Prove that : A nn(B-A)=phi.

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  15. Prove that : (A-B) nn (B-A)=phi.

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  16. Prove that : (A-B) nn (A nn B)=phi.

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  17. Prove that : phi- A= phi.

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  18. Let A and B be two sets. Prove that : (A -B) uu B= A if and only if B ...

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  19. Prove that if A uu B=C and A nn B=phi, then A= C-B.

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  20. For any sets A and B, prove that : P (A nn B) =P (A) nn P (B).

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