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If A = {1, 2, 3, 4, 5}, B = {2, 3,5, 7, ...

If A = {1, 2, 3, 4, 5}, B = {2, 3,5, 7, 9} and C = {3, 4, 6, 8, 10}, then prove that : `A nn(B uu C)=(A nn B) uu (A nn C)`.

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If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, C = {2, 4, 8, 10}, verify that : A nn (B uu C)= (A nn B) uu (A nn C) .

Let A = {1, 2, 3, 4}, B = {4, 6, 7, 8} and C = {2, 4, 6, 8}. Verify the following identity : A nn(B uu C)=(A nn B)uu(A nn C) .

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

If A={1,2,4, 5}, B= {2, 3, 5, 6} and C = (4, 5, 6, 7}, then verify that : A nn (B-C)= (A nn B)- (A nn C) .

If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, C = {2, 4, 8, 10}, verify that : (A uu B)^(c) =A^(c) nn B^(c) .

If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, C = {2, 4, 8, 10}, verify that : A-B= A nn B^(c) .

If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, C = {2, 4, 8, 10}, verify that : (A nn B)^(c) =A^(c) uu B^(c) .

Let A = {1, 2, 3, 4}, B = {4, 6, 7, 8} and C = {2, 4, 6, 8}. Verify the following identity : A uu(B nn C)=(A uu B)nn(A uu C) .

If A = {1, 2, 3,4}, B= {2, 4,6, 8} and C= { 3, 4, 5,6}, verify that : A nn (B nn C)= (A nn B) nn C .

Let A = {1, 2, 3, 4}, B = {4, 6, 7, 8} and C = {2, 4, 6, 8}. Verify the following identity : (A nn B) nn C=A nn(B nn C) .

MODERN PUBLICATION-SETS-EXERCISE
  1. If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5,...

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  2. If A={1,2,4, 5}, B= {2, 3, 5, 6} and C = (4, 5, 6, 7}, then verify tha...

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  3. If A = {1, 2, 3, 4, 5}, B = {2, 3,5, 7, 9} and C = {3, 4, 6, 8, 10}, t...

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  4. Prove that A sub B,B sub C implies A sub C.

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  5. Prove the following : A sub B iff A^(c) sup B^(c).

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

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  7. Prove the following : A sub B iff A uu B=B.

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  8. Prove that following : (x notin A implies x notin B) iff B sub A .

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  9. Prove that following : (A uu B=U) iff B^(c) sub A iff A^(c) sub B.

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

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

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

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

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

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

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

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

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

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

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