Write the compound statement in symbols.
Let r = ʺThe food is good,ʺ p = ʺI eat too much,ʺ q = ʺIʹll exercise.ʺ
-If I exercise, then the food wonʹt be good and I wonʹt eat too much.
A) $q \rightarrow(\sim \mathrm{r} \wedge \sim \mathrm{p})$
B) $q \rightarrow \sim(r \wedge p)$
C) $\sim ( \mathrm { r } \wedge \mathrm { p } ) \rightarrow \mathrm{q}$
D)$(\mathrm{q} \wedge \sim \mathrm{r}) \rightarrow \sim \mathrm{p}$

Question

Write the compound statement in symbols.
Let r = ʺThe food is good,ʺ p = ʺI eat too much,ʺ q = ʺIʹll exercise.ʺ
-If I exercise, then the food wonʹt be good and I wonʹt eat too much. 
A) $q \rightarrow(\sim \mathrm{r} \wedge \sim \mathrm{p})$
B) $q \rightarrow \sim(r \wedge p)$
C) $\sim ( \mathrm { r } \wedge \mathrm { p } ) \rightarrow  \mathrm{q}$
D)$(\mathrm{q} \wedge \sim \mathrm{r}) \rightarrow \sim \mathrm{p}$

Quizplus · Accepted Answer

The correct symbolic representation is $q \rightarrow(\sim \mathrm{r} \wedge \sim \mathrm{p})$, which translates to "If I exercise, then the food won't be good and I won't eat too much."

Write the Compound Statement in Symbols q→(∼r∧∼p)q \rightarrow(\sim \mathrm{r} \wedge \sim \mathrm{p})q→(∼r∧∼p)

Write the Compound Statement in Symbols $q \rightarrow(\sim \mathrm{r} \wedge \sim \mathrm{p})$