Prove parts (a) and (c) of Theorem 5.10. If f: A B and B1,B2 B,

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Prove parts (a) and (c) of Theorem 5.10.
If f: A → B and B1,B2 ⊂ B, then
(a) f-1{B1 ∩ B2) = f-l(B1) ∩
(b) f-1 (B1, ∪ B2) = f-1'(B1,) ∪ f-1'(B2); and
(c) f-1 (B1)- f-1 (B1).
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