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Let A= {(1)/(2), 2}, B= [2,3,5], C= {-1,...

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

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

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

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

If A = [1,2,3], B=[4], C= [5] , then verify that: (i) A xx (B uu C) = (A xx B) uu (A xx C) (ii) A xx (B nn C) = (A xx B) nn (A xx C)

If ={1,2},B={2,3,4} and C={1,3,5,6} ,then verify A xx(B uu C)=(A xx B)uu(A xx C)

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

Let A= [1,2,3], B = [-1,0,1,2,3], C= {1}, D= {-1,1} . Then verify the following: (i) (A xx B) nn (C xx D) = (A nn C) xx (B nn D) (ii) If A sub B and C sub D , then (A xx C) sub (B xx D)

Let A={1,2},B={1,2,3,4},C={5,6}andD={5,6,7,8}. Verity that: A xx C sub B xx D

Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A uu(B nn C)=(A uu B)nn(A uu C)

If A = {1,2,4}, B = {2,4,5} , C = {2,5} , then (A - C ) xx (B - C) is equal to

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Exercise-2(a)
  1. If R is the set of all real numbers, what do the cartesian products R...

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  2. If A= [a,b,c], B= [c,d] and C= [d,e,f], Find (i) A xx (B uu C) (ii) ...

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  3. (a) Let A= {1,2,3}, B= [3,4] and C={4,5,6}. Find: (i) (A xx B) nn (A...

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

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

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  6. If A = [1,2,3], B=[4], C= [5], then verify that: (i) A xx (B uu C) =...

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  7. Let A= [1,2,3], B = [-1,0,1,2,3], C= {1}, D= {-1,1}. Then verify the f...

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

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  9. Theorem 3 (If A and B are two non empty set; then prove that AxxB=BxxA...

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

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  11. If A sube B and C sube D, then prove that: A xx C sube B xx D

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  12. (i) If A sube B, prove that A xx A sube (A xx B) nn (B xx A) (ii) If...

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  13. Theorem 1(i) (For any three set A;B;C; prove that Axx(BuuC)=(AxxB)uu(A...

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

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  15. For any A sets A, B, C and D, prove that: (AxxB) nn (CxxD)=(A nnC)xx...

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  16. For any three sets A ,B ,C prove that: Axx(B^(prime)uuC^(prime))^'=(A...

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  17. If A= {1,2,3} and B={1,2}, then find: (i) A xx B (ii) B xx A (iii)...

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  18. Let X= (-2,0,1), Y = {2,3}. Reprsent X xx Y and Y xx X graphically. ...

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  19. Let A= {2,3,5,7}, B= {1,12,13,15}. How many elements are there in A xx...

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  20. Theorem 9(A and B are two non empty set having n element in common ; t...

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