Let f : A B with C, C1, C2 C A and DC B. (a) Show that if f is INJECTIVE (ONE-TO-ONE) then ff(C)] = C. (b) Show that if f is SURJECTIVE (ONTO) then fI(D)] = D. (c) Show that if f is INJECTIVE (ONE-TO-ONE) then f(C,nC)] = f(C1)n f(C).

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