Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form.
-If the food is good and if I eat too much, then I'll exercise.
A) $r \wedge ( p \rightarrow q )$
B) $( r \wedge p ) \rightarrow q$
C) $p \rightarrow ( r \wedge q )$
D) $r \rightarrow ( p \wedge q )$

Question

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form.
-If the food is good and if I eat too much, then I'll exercise. 
A) $r \wedge ( p \rightarrow q )$
B) $( r \wedge p ) \rightarrow q$
C) $p \rightarrow ( r \wedge q )$
D) $r \rightarrow ( p \wedge q )$

Quizplus · Accepted Answer

The statement "If the food is good and if I eat too much, then I'll exercise" directly translates to the logical expression $( r \wedge p ) \rightarrow q$, indicating that if both conditions $r$ and $p$ are true, then $q$ will also be true.

Letting R Stand for "The Food Is Good," P Stand r∧(p→q)r \wedge ( p \rightarrow q )r∧(p→q)

Letting R Stand for "The Food Is Good," P Stand $r \wedge ( p \rightarrow q )$