The given statement is: p: “If x is an integer and
q: x is an integer and
r: x is even.
Consider that r is false then show that q must be false. Since the statement r is false, then it should be the negation of the statement r which will be denoted as
x is not even implies that its square is also not even. Therefore the statement q is not true.
Thus, the given statement p is true.