# Chapter 2 - Reasoning and Proof - 2-2 Conditional Statements - Practice and Problem-Solving Exercises - Page 93: 22

conditional - true converse - true inverse - true contrapositive - true

#### Work Step by Step

The converse swaps the hypothesis and the conclusion. If $x=5$, then $4x+8=28$. True. There is no counterexample. The inverse negates the hypothesis and the conclusion. If $4x+8\ne28$, then $x\ne5$. True. There is no counterexample. The contrapositive both swaps and negates the hypothesis and conclusion. If $x\ne5$, then $4x+8\ne28$. True. There is no counterexample.

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