Answer to Question #284183 in Discrete Mathematics for Amele

Question

a)     Suppose P (x, y) denotes the equation8, what will the truth values of the Propositions P (2,2), P (0,4).

Answer 1

Let $P (x, y)$ denotes the equation "$x+y=8$". Let us find the truth values of the Propositions $P (2,2), P (0,4).$

Since $2+2=4\ne 8,$ we conclude that the truth value of the Proposition $P (2,2)$ is false.

Taking into account that $0+4=4\ne 8,$ we conclude that the truth value of the Propositions $P (0,4)$ is false.