Classify each of the following sets as finite, countably infinite, or uncountable.
(a) {(x, y) ∈ Z2 |xy = 1}
(b) {(x, y)} ∈ R2| xy = 1}
(c) {x ∈ Q | 2x −y = 6for some y ∈ Q}
(d) {x ∈ R | x = πy for some y ∈ Z}
(e) {x ∈ R |x2 + 8 = 0}
(f) {Z, N, Q}
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