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Which of the following sets are finite? countably infinite? uncountable? Give reasons for your answers for...

Which of the following sets are finite? countably infinite? uncountable? Give reasons for your answers for each of the following:

(a) {1\n :n ∈ Z\{0}};

(b)R\N;

(c){x ∈ N:|x−7|>|x|};

(d)2Z×3Z

Please answer questions in clear hand-writing and show me the full process, thank you (Sometimes I get the answer which was difficult to read).

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