Answer to Question #278264 in Discrete Mathematics for Fazalhaq

Question

a)     Suppose P (x, y) denotes the equation y=x+8, what will the truth values of the Propositions P (2,2), P (0,4).

Answer 1

Suppose $P (x, y)$ denotes the equation $y=x+8.$ Let us find the truth values of the Propositions $P (2,2), P (0,4).$ Since $2\ne 10=2+8,$ we conclude that $P(2,2)$ is false. Taking into account that $4\ne 8=0+8,$ we conclude that $P(0,4)$ is also false.