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If A^(c) uu B=U, show that A sub B....

If `A^(c) uu B=U`, show that `A sub B`.

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MODERN PUBLICATION-SETS-EXERCISE
  1. Prove that A^c-B^c=B-A.

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  2. Prove that : B^(c) -A^(c)=A-B.

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  3. If A^(c) uu B=U, show that A sub B.

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  4. Let U = {1, 2, 3, 4, 5, 6}, A = (2, 3} and B = (3, 4, 5}. Find A’, B’,...

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  5. If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5,...

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  6. If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5,...

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  7. If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5,...

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  8. If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5,...

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

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  10. 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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  11. Prove that A sub B,B sub C implies A sub C.

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

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

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

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

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

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

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

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

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

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