Write the compound statement in symbols. Let $r =$ "The food is good."
$\begin{array} { l }
p = \text { "I eat too much." } \
q = \text { "I'll exercise." }
\end{array}$
-The food is good and if I eat too much, then I'll exercise.
A) $( r \rightarrow p ) \vee q$
B) $( r \wedge p ) \rightarrow q$
C) $( r \vee p ) \rightarrow q$
D) $r \wedge ( p \rightarrow q )$

Question

Write the compound statement in symbols. Let $r =$ "The food is good."
$\begin{array} { l } 
p = \text { "I eat too much." } \
q = \text { "I'll exercise." }
\end{array}$
-The food is good and if I eat too much, then I'll exercise. 
A) $( r \rightarrow p ) \vee q$
B) $( r \wedge p ) \rightarrow q$
C) $( r \vee p ) \rightarrow q$
D) $r \wedge ( p \rightarrow q )$

Quizplus · Accepted Answer

The statement "The food is good and if I eat too much, then I'll exercise" can be broken down into two parts: "The food is good" which is represented by $r$, and "if I eat too much, then I'll exercise" which is a conditional statement represented by $p \rightarrow q$. Combining these with "and" ($\wedge$) gives $r \wedge ( p \rightarrow q )$.

Write the Compound Statement in Symbols r=r =r= "The Food Is Good

Write the Compound Statement in Symbols $r =$ "The Food Is Good