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Prove the following : B-A=B nn A^(c)....

Prove the following : `B-A=B nn A^(c)`.

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Prove the following : A sub B iff A nn B=A .

Prove that following : (A nn B=phi) iff A sub B^(c) implies B sub A^(c) , where U is the universal set.

Draw appropriate Venn diagram for the following : (A nn B)'

Draw appropriate Venn diagram for each of the following : i) (A nn B)^c ii) A^c nn B^c .

Draw appropriate Venn diagram for the following : A' nn B'

Let A = {1, 2, 3}, B= {- 1,0, 1,2,3} and C= {1}, D={- 1,1}. Then Verify the following : (A xxB) nn (C xx D) =(A nn C) xx (B nn D) .

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MODERN PUBLICATION-SETS-EXERCISE
  1. Prove that following : (A uu B=U) iff B^(c) sub A iff A^(c) sub B.

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  2. Prove that following : (A nn B=phi) iff A sub B^(c) implies B sub A^(...

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  3. Prove the following : B-A=B nn A^(c).

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  4. Prove the following : (A uu B)-A=B-A .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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