# How do you solve  |3x - 5| = -1?

Dec 19, 2015

This has no solutions since $\left\mid t \right\mid \ge 0$ for any value of $t$

#### Explanation:

For any number $x$:

$\left\mid 3 x - 5 \right\mid \ge 0$

So $\left\mid 3 x - 5 \right\mid = - 1$ has no solutions.

Here's what the graph of $\left\mid 3 x - 5 \right\mid$ looks like:

graph{abs(3x-5) [-9.83, 10.17, -2.56, 7.44]}