Question: (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

(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

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

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

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