Question

consider statements p and q. p: we sell beans at the market. q: we sell apples at the market. for part (a), fill in the symbolic form. for part (b), choose the descriptive form. descriptive form symbolic form (a) if we do not sell beans at the market, then we do not sell apples at the market. (b) select g ↔ p we sell beans at the market if and only if we do not sell apples at the market. we sell apples at the market if and only if we sell beans at the market. if we sell apples at the market, then we sell beans at the market.

Explanation:

Step1: Translate part (a) to symbols

"Not sell beans" is $
eg p$, "not sell apples" is $
eg q$. "If...then..." is $
ightarrow$, so $
eg p
ightarrow
eg q$.

Step2: Match symbol form in (b)

$q
ightarrow p$ means "If q, then p". q is "sell apples", p is "sell beans", so the descriptive form is "If we sell apples at the market, then we sell beans at the market."

Answer:

(a) $
eg p
ightarrow
eg q$
(b) If we sell apples at the market, then we sell beans at the market.