(Solved): 2. Consider the Venn diagram below: Which one of the following alternatives is represented by the ...

2.

Consider the Venn diagram below: Which one of the following alternatives is represented by the Venn diagram? a. \( [B-(A \cap B)]+B \) b. \( [B-(B \cap C)] \cup(A \cap B) \) c. \( [\mathrm{B}+(\mathrm{A} \cap \mathrm{B})]-(\mathrm{C} \cap \mathrm{B}) \) d. \( [(A \cup B)-A]+(B \cap C) \) Let \( f \) and \( g \) be functions on \( Z \) defined by: \( (x, y) \in g \) iff \( y=2 x^{2}-5 \) and \( (x, y) \in f \) iff \( y=-3 x+7 \) Which one of the following alternatives represents the range of \( g \) (ie ran \( (g)) \) ? a. Z b. \( \left\{y \mid 2 x^{2}-5 \in Z\right\} \) c. \( \left\{y \mid\right. \) for some \( \left.y \in Z, y=2 x^{2}-5 \in Z\right\} \) \( \left\{y \mid \sqrt{\frac{y+5}{2}} \in Z\right\} \)