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

Question

1800 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-19T18:17:28

This has no solutions since $abs(t) >= 0$ for any value of $t$

For any number $x$ :

$abs(3x-5) >= 0$

So $abs(3x-5) = -1$ has no solutions.

Here's what the graph of $abs(3x-5)$ looks like:

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

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