Let P(x)="the integer x is even", Q(x) = P(x), R(x, y) = "x + y = 1". Determine which of the following is FALSE.

(a) (x)P(x) W (x)Q(x) is false.

(b) (x)[P(x) W Q(x)] is a tautology.

(c) (x)(y)R(x, y) is true.

(d) (y)(x)R(x, y) is true.

(e) none of these