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.
-The food is good and if I eat too much, then I'll exercise.
A) $( r \vee p ) \rightarrow q$
B) $( r \wedge p ) \rightarrow q$
C) $r \wedge ( p \rightarrow q )$
D) $( r \rightarrow p ) \vee q$

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.
-The food is good and if I eat too much, then I'll exercise. 
A) $( r \vee p ) \rightarrow q$
B) $( r \wedge p ) \rightarrow q$
C) $r \wedge ( p \rightarrow q )$
D) $( r \rightarrow p ) \vee q$

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" (r) and "if I eat too much, then I'll exercise" (p → q). Combining these with 'and' gives $r \wedge ( p \rightarrow q )$.

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

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