a) Let A and B be two sets and define n(S) to be the cardinality of...

 

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a) Let A and B be two sets and define n(S) to be the cardinality of a set S. If n(A – B) = 18, n(A U B) = 70 and n(An B) = 25, find n(B). b) Show that the function f: R-{0}R defined as f(x) =+1 is injective but not surjective. c) Find the inverse function of f(x) = x2-4x+8, where x 2 2. a) Let A and B be two sets and define n(S) to be the cardinality of a set S. If n(A – B) = 18, n(A U B) = 70 and n(An B) = 25, find n(B). b) Show that the function f: R-{0}R defined as f(x) =+1 is injective but not surjective. c) Find the inverse function of f(x) = x2-4x+8, where x 2 2.