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Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5,...

Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verify that `A xx C` is a subset of `B xx D`.

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

Let A= {1, 2, 3}, B= {3, 4} and C = {4, 5, 6}. Find : Axx (B uu C) .

Let A = {1, 2, 3, 4,5,6} and B = {2,4,6, 8}. Find A xx B .

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) .

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (B nn C)= (A...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. For any three sets A, B,C prove that : Axx(B^(c) nn C^(c))^(c)= (AxxB...

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  20. State whether the following statement is true or false. If the stateme...

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