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If A= {1, 2, 3}, B= {4},C = {5}. then ve...

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

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If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (B - C)= (A xxB) - (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}, B= {2, 3, 4} and C= {4, 5}. Verity that : A xx (Buu C)= (A xxB) uu (A xx 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 ={1/2,2} , B= {2, 3, 5}, C = {- 1, - 2}, then verify the following : Axx (B uu C)=(AxxB) uu (AxxC) .

Let A = {1/2,2} , B = {2,3,5}, C= {-1,- 2}. Verify that : A xx (B nn C)= (AxxB)nn (AxxC) .

Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)cup(AxxC)

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}.n verify that: Axx(B-C)=(AxxB)-(AxxC)

Let A ={1/2,2} , B= {2, 3, 5}, C = {- 1, - 2}, then verify the following : Axx (B - C)=(AxxB) - (AxxC) .

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. The Cartesian product A xx A has 9 elements among which are found (-1,...

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

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

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

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

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  6. Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verif...

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  7. Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verif...

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  8. Let A = {1, 2, 3}, B= {- 1,0, 1,2,3} and C= {1}, D={- 1,1}. Then Verif...

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  9. Let A = {1, 2, 3}, B= {- 1,0, 1,2,3} and C= {1}, D={- 1,1}. Then Verif...

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  10. Let P = {1, 4,9} and Q= {2,4,6}. Write the elements of (P nn Q)xx (P u...

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  11. IfA and B are non-empty sets and A xx B=B xx A, then

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  12. Let A be a non-empty set such that AxxB=AxxC. Show that B = C.

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  13. Prove that A sube B and C sube D imply : (A xxC) sube (B xxD).

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  14. If A sube B, prove that AxxA sube (A xxB) nn (BxxA).

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  15. If A sube B, prove that AxxC sube BxxC for any set C.

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  16. For any three sets A, B,C prove that : Axx (B uu C)= (AxxB) uu (AxxC)...

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  17. For any three sets A, B,C prove that : (A- B) xx C= (AxxC) - (BxxC).

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  18. For any three sets A, B,C prove that : Axx (B uu C)= (AxxB) uu (AxxC)...

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  19. For any three sets A, B,C prove that : (A nn B) xx C= (AxxC) nn (BxxC...

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  20. For any four sets A, B, C and D, prove that : (A nn B)xx (C nn D)= (A...

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