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Given examples of three sets, ` A,B, C` such that ` A cap B ne phi , (B cap C) ne phi, (A cap C) ne phi and (A cap B cap C) = phi`. |
Answer» Consider the sets `A ={1,2}, B={2,3,4} and C={1,2,5}` Then , `(A cap B) ={1,2} cap {2,3,4}={2} ne phi`, `(Bcap C) ={2,3,4}cap {1,3,5}={3} ne phi`, `(A cap C)={1,2,}cap {1,3,5}={1} ne phi`, `(Acap Bcap C)={1,2}cap {2,3,4}cap {1,3,5}=phi`. Thus, `A cap B ne phi, B cap C ne phi, A cap C ne phi and A cap B cap C= phi`. |
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