Prove or disprove:(a) If and B is denumerable, then A is denumerable.(b) If and A is denumerable, then B is denumerable.(c) is denumerable, where J is the set of all linear functions withslope 1 and rational y-intercept, and K is the set of all linear functionswith slope 2 and integer y-intercept.(d) is denumerable.(e) If A and B are denumerable, then is denumerable.

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