If f : ( (', then show that (i) f-1 f (A)] ( A, A (

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If f : ( → (', then show that
(i) f-1 f (A)] ( A, A ( (.
(ii) f [ f -1(B)] ( B, B ( ('.
(iii) By concrete examples, show that the relations in (i) and (ii) may be strict.
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