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) if we sell apples at the market, then we sell beans at the market. ( q leftrightarrow p )

Explanation:

Step1: Identify negation of p

$
eg p$: "We do not sell beans at the market"

Step2: Identify negation of q

$
eg q$: "We do not sell apples at the market"

Step3: Translate conditional statement

$
eg p
ightarrow
eg q$

Step4: Match symbolic form (b)

$q
ightarrow p$ translates to "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.