Question

Let P(x) be the statement"x= x2", If the domain consists of the integers, what are these truth values? (a) P(0) (b) P(1) (c) P(2) (d) P(-1) (e)

Answer 1

Answer: i guess the problem is with P(x) => "x = $x^{2}$", then P(x) is true if that equality is true, and is false if the equality is false.

so lets see case for case.

a) x = 0, and $0^{2}$ = 0. So p(0) is true.

b) x = 1 and $1^{2}$ = 1, so P(1) is true.

c) x = 2, and $2^{2}$ = 4, and 2 ≠ 4, then P(2) is false.

d) x= -1 and $1^{2}$ = 1, and 1 ≠ -1, so P(-1) is false.