# Thread: [SOLVED] Converse contrapositive and inverse

1. ## [SOLVED] Converse contrapositive and inverse

Hi this is my first time at this forum can anyone help me with this question?

The question: If |x|=x, then >= 0

how do I put the question as a converse, contrapositive and inverse

Thanks very much for the help

2. Hello, greenway!

Welcome aboard!

Given an implication: . $p \to q$

. . $\begin{array}{ccc}\text{Converse: } & q \to p & \text{Switch the two parts} \\

\text{Inverse: }& \sim p \to\: \sim q & \text{Negate the two parts}\\

\text{Contrapositive: } & \sim q \to\: \sim p & \text{Switch and negate}
\end{array}$

Can you finish the problem now?