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Let A and B be two sets such that n(A) =...

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2),(z, 1) are in `A xx B`, find A and B. where x, y and z are distinct elements.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Let A = {2, 4, 6}, B= {6, 8, 10} and C = {10, 12,14}. Find B xx (A uu ...

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

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  3. Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y...

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  4. The Cartesian product A xx A has 9 elements among which are found (-1,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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