Question

p= I eat too much
q= I'll exercise.
I'll exercise if I don't eat too much. I need to construct a truth table for the symbolic statement.

Answer 1

Make columns for the possible truth values of p and q. This is hard to show in text like this, but if you think about the possible combinations are p true and q true, p true and q false, p false and q true and p false and q false. So you'll have a column p with rows T T F F next to a column q with rows T F T F. Write a third column for ~p, which is going to be the opposite values of P, i.e. F F T T. Now your statement is a conditional, if not p, then q. A conditional is only false when the if part is true but the then part is false. In this case, if you don't eat too much and you don't exercise. So find the combination where ~p is true and q is false. There should only be one. For that row, the conditional has a false value, and as you can guess, for the rest it will be true.