1. a) Let f : C → D be a function. Prove that if C1
and C2 be two subsets of C, then
f(C1ꓴC2) = f(C1) ꓴ
f(C2).
b) Let f : C → D be a function. Let C1 and C2
be subsets of C. Give an example of
sets C, C1, C2 and D for which f(C ꓵ D) ≠
f(C1) ꓵ f(C2).
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