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If A = {1, 2, 3}, B= { 4, 5, 6} and C= ...

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

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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}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verify that A xx (B nn C) = (A xx B) nn (A xx C) .

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 nn (B uu C)= (A nn B) uu (A nn C) .

Let A = {1, 2, 3}, B = {2, 3, 4} and C = {4, 5}. Verify that : Axx(B nn C)=(AxxB)nn (A xx C) .

Let A = {1, 2, 3}, B= {2, 3, 4} and C= {4, 5}. Verity that : A xx (Buu C)= (A xxB) uu (A xx C) .

If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (B nn C)= (A xxB) nn (A xx 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 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) .

Let A = {1, 2, 4}, B= {3, 5, 7} and C = {5, 7, 9}, find A xx (B nn C) .

MODERN PUBLICATION-SETS-EXERCISE
  1. Draw appropriate Venn diagram for the following : A' uu B'

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  2. Prove that : (A uu B uu C)^(c) =A^(c) nn B^(c) nn C^(c).

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  3. If A = {1, 2, 3}, B= { 4, 5, 6} and C= { 7, 8, 9}, verify that : A ...

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

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

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

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  7. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

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  8. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

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  9. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

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  10. Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

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  11. If A = {0, 1, 2, 3, 5,6}, B = {1,3, 5, 7, 9} and C = {0, 5, 10, 20,40}...

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  12. Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

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  13. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

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  14. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

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  15. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

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  16. If X and Y are two sets such that X uu Y has 50 elements, X has 28 ele...

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  17. If X and Y are two sets such that X uu Y has 18 elements, X has 8 elem...

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  18. If A and B are two sets such that A uu B has 20 elements, A has 8 elem...

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  19. If S and T are two sets such that S has 21 elements, T has 32 elements...

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  20. If X and Y are two sets such that X has 40 elements, X uu Y has 60 ele...

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