Problem

Each of the following statements is true. In each case write the converse of the statement...

Each of the following statements is true. In each case write the converse of the statement, and give a counterexample showing that the converse is false.

a. If n is any prime number that is greater than 2, then n + 1 is even.


b. If m is any odd integer, then 2m is even.


c. If two circles intersect in exactly two points, then they do not have a common center.

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