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

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

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

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

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) .

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

If A, B are two sets, prove that AuuB=(A-B)uu(B-A)uu(AnnB) . Hence or otherwise prove that n(AuuB)=n(A)+n(B)-n(AnnB) where, n(A) denotes the number of elements in A.

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

Prove that : (i) A sub (A uu B) (ii) B sub (A uu B) .

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) .

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

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MODERN PUBLICATION-SETS-EXERCISE
  1. Prove that : (A uu B uu C)^(c) =A^(c) nn B^(c) nn C^(c).

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

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

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

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

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  6. 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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  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}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

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

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

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

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

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

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

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  20. If A and B are two sets such that : n(A)=20, n (A uu B)=42 and n (A n...

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