Chapter 1.5, Problem 15E

In Exercises $11-20$, use a truth table to determine the validity of the argument specified. If the argument is invalid, interpret the specific circumstances that cause it to be invalid.

the argument in Exercise 5

5. $\begin{array}{l}p:\text{You exercise regularly}\text{.}\\ q:\text{You are healthy}\text{.}\end{array}\}Usethesesymbols.$

1. You exercise regularly if you are healthy.
2. You do not exercise regularly.
Therefore, you are not healthy.