Let ℝ denote the set of real numbers. For each of the following subsets of ℝ × ℝ, determine whether it is equal to the cartesian product of two subsets of ℝ.
(a) {(x, y) | x is an integer}.
(b) {(x, y) | 0<y ≤ 1}.
(c) {(x, y) | y > x}.
(d) {(x, y) | x is not an integer and y is an integer}.
(e) (x, y) | x2 + y2<1}.
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