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 or if I eat too much, I'll exercise.
A) $r \rightarrow p \rightarrow r$
B) $( r \vee p ) \rightarrow q$
C) $r \rightarrow ( p \vee q )$
D) $( r \wedge p ) \rightarrow q$

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 or if I eat too much, I'll exercise. 
A) $r \rightarrow p \rightarrow r$
B) $( r \vee p ) \rightarrow q$
C) $r \rightarrow ( p \vee q )$
D) $( r \wedge p ) \rightarrow q$

Quizplus · Accepted Answer

The correct symbolic form is $( r \vee p ) \rightarrow q$, which translates to "If the food is good or if I eat too much, then I'll exercise." This captures the essence of the statement by using the logical OR ($\vee$) to combine the two conditions (good food or eating too much) as a single premise leading to the conclusion (exercising).

Letting R Stand for "The Food Is Good," P Stand r→p→rr \rightarrow p \rightarrow rr→p→r

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