(a) By contradiction, prove that V x, y € Z, if xy is even and y is odd then x is even. (b) Show that the set is countable. 3' 3'9' 6 (c) Find the values of x and y for which (x + y, 0) = (3, x – y)

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A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

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