Answer to Question #303394 in Discrete Mathematics for WENZ

Question

Suppose that P(×) is x² > 1.What is the truth value of Ax P(x) where the universe of discourse consist of all integers?

Answer 1

Since for $x=0$ we have that $x^2=0<1,$ we conclude that $P(0)$ is false. Consequently, $\forall x P(x)$ is also false.