Question

let P(x) denote the statement "x-3>5" . What are the truth values? P(2) P(8) P(9)

Answer 1

Let $P(x)$ denote the statement " $x-3>5$ " . Since $2-3=-1<5$, we conclude that $P(2)$ is false. Taking into account that $8-3=5$, we conclude that $P(8)$ is false. Since $9-3=6>5$, we conclude that $P(9)$ is true.