Convert the compound statement into words.
-$$\begin{array} { l }
\mathrm { p } = \text { "The food tastes delicious." } \
\mathrm { q } = \text { "We eat a lot." } \
\mathrm { r } = \text { "Nobody has dessert." } \
\sim \mathrm { q } \vee ( \mathrm { p } \wedge \mathrm { r } )
\end{array}$$
A) We do not eat a lot and the food tastes delicious and nobody has dessert.
B) We eat a lot or the food tastes delicious and nobody has dessert.
C) We do not eat a lot or the food tastes delicious or nobody has dessert.
D) We do not eat a lot or the food tastes delicious and nobody has dessert.

Question

Convert the compound statement into words.
-$$\begin{array} { l } 
\mathrm { p } = \text { "The food tastes delicious." } \
\mathrm { q } = \text { "We eat a lot." } \
\mathrm { r } = \text { "Nobody has dessert." } \
\sim \mathrm { q } \vee ( \mathrm { p } \wedge \mathrm { r } )
\end{array}$$
A) We do not eat a lot and the food tastes delicious and nobody has dessert.
B) We eat a lot or the food tastes delicious and nobody has dessert.
C) We do not eat a lot or the food tastes delicious or nobody has dessert.
D) We do not eat a lot or the food tastes delicious and nobody has dessert.

Quizplus · Accepted Answer

The logical statement $\sim q \vee (p \wedge r)$ translates to "We do not eat a lot or the food tastes delicious and nobody has dessert." This is because $\sim q$ means "not q" (We do not eat a lot), $\vee$ means "or", $p \wedge r$ means "p and r" (the food tastes delicious and nobody has dessert).

Convert the Compound Statement into Words A) We Do Not Eat a Lot and the Food