(i). Find examples showing that (f(A cap B) eq f(A) cap f(B)) and (f(A backslash B) eq...

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 (i). Find examples showing that \(f(A \cap B) eq f(A) \cap f(B)\) and \(f(A \backslash B) eq f(A) \backslash f(B)\). In both relations one inclusion ' \(C\) ' or ' \(\supset\) ' is always true. Which one? 

(ii).Prove (2.6).

Equation 2.6

S(UG)=US(c), El iEl f'(na)=n(a), EI El f'(C\D)=f(C) \ (D).

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