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

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

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

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

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

For any sets A, B, C, D , prove that: (AxxB)nn (CxxD)=(A nn C)xx(B nn D) .

For any four sets A, B, C and D, prove that : (A nn B)xx (C nn D)= (AxxC) nn (BxxD) .

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

For any three sets A, B, C, prove that : Axx(B nn C)=(A xx B)nn (Axx C) .

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MODERN PUBLICATION-SETS-EXERCISE
  1. If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn...

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

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

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

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

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

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

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

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

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

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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 nn(B-A)=phi.

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

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

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  15. Prove that : phi- A= phi.

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

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

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

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

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

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