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Problem 10

Write the inverse for each of the following statements. Determine whether the inverse is true or false, (a) If a person is stealing, he is breaking the law. (b) if a line is perpendicular to a segment at its midpoint, it is the perpendicular bisector of the segment, (c) Dead men tell no tales.

Expert verified

(a) Inverse statement: If a person is not stealing, he is not breaking the law. This inverse is false.
(b) Inverse statement: If a line is not perpendicular to a segment at its midpoint, it is not the perpendicular bisector of the segment. This inverse is true.
(c) Inverse statement: Men who are not dead do tell tales. This inverse is true.

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