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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
- Let A = {1, 2, 3}, B= {2, 3, 4} and C= {4, 5}. Verity that : A xx (Buu...
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- If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (Buu C)= (A ...
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- If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (B nn C)= (A...
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- If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (B - C)= (A ...
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- Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verif...
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- Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verif...
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- Let A = {1, 2, 3}, B= {- 1,0, 1,2,3} and C= {1}, D={- 1,1}. Then Verif...
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- Let A = {1, 2, 3}, B= {- 1,0, 1,2,3} and C= {1}, D={- 1,1}. Then Verif...
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- Let P = {1, 4,9} and Q= {2,4,6}. Write the elements of (P nn Q)xx (P u...
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- IfA and B are non-empty sets and A xx B=B xx A, then
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- Let A be a non-empty set such that AxxB=AxxC. Show that B = C.
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- Prove that A sube B and C sube D imply : (A xxC) sube (B xxD).
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- If A sube B, prove that AxxA sube (A xxB) nn (BxxA).
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- If A sube B, prove that AxxC sube BxxC for any set C.
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- For any three sets A, B,C prove that : Axx (B uu C)= (AxxB) uu (AxxC)...
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- For any three sets A, B,C prove that : (A- B) xx C= (AxxC) - (BxxC).
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- For any three sets A, B,C prove that : Axx (B uu C)= (AxxB) uu (AxxC)...
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- For any three sets A, B,C prove that : (A nn B) xx C= (AxxC) nn (BxxC...
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- For any four sets A, B, C and D, prove that : (A nn B)xx (C nn D)= (A...
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- For any three sets A, B,C prove that : Axx(B^(c) uu C^(c))^(c)= (Axx...
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