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

question 136

Multiple Choice

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)\((\mathrm{q} \wedge \sim \mathrm{r}) \rightarrow \sim \mathrm{p}\)