Let A {a,b,c},B {b,d,e},and C {e,f,g}, verify that (AUB) U C equal to A U (B U C)
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Refer to the figure attached.
(A−B)∪(B−C)∪(C−A) will cover all parts except A∩B∩C. Hence, [(A−B)∪(B−C)∪(C−A)]
′
is equal to A∩B∩C.
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AUB. = {a,b,c,d,e}
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