Let f be a function from the set A to the set B. Let S and T be subsets of A. Show that a) f (S ∪ T) = f (S) ∪ f (T). b) f (S ∩ T) ⊆ f (S) ∩ f (T).
Let f be a function from the set A to the set B. Let S and T be subsets of A. Show that a) f (S ∪ T) = f (S) ∪ f (T). b) f (S ∩ T) ⊆ f (S) ∩ f (T).