State whether the following is true or false: g) The set of integers the usual metric is not compact. h) The set M = { x∈N: x < 7/2 } with the usual metric is connected. i) Suppose metric space X is not path-wise connected then X is not connected.

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Q: thun no in

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…