Question

Let P(x) denote the statement “x ≤ 4.” What are these truth values?

a) P(0)

b) P(4)

c) P(6)

d) P(5)

e) P (1)

Answer 1

a) Since $0\le 4,$ we conclude that the trush value of $P(0)$ is true.

b) Since $4\le4$, we conclude that the trush value of $P(4)$ is true.

c) Since $6>4,$ we conclude that the trush value of $P(6)$ is false.

d) Since $5>4,$ we conclude that the trush value of $P(5)$ is false.

e) Since $1\le 4,$ we conclude that the trush value of $P(1)$ is true.