## Problem 1055

Let p and q represent the following simple statements.

p: I jog.

q: I go to the gym.

Write the following compound statement in symbolic form.

I jog or I do not go to the gym.

**Solution:-**

The given compound statement is disjunction formed by joining two simple statement with the connective “or”.

Examine the first simple statement, “I jog.” This is the same as p in the problem statement.

Thus, “I jog” corresponds to p.

The connective “or” is represented by the symbol v.

Now examine the second simple statement, “I do not go to the gym.” This is the negation of q in the problem statement . Thus ,” I do not go to the gym” corresponds to ~q.

Therefore , the statement “I jog or I do not go to the gym” corresponds to the symbolic form p v ~ q.