# How do you solve 5 + absm = 1?

Jul 4, 2015

There is no solution to this equation.

#### Explanation:

In order to have
$5 + \left\mid m \right\mid = 1$,

we must have $\left\mid m \right\mid = 1 - 5$ (Subtract $5$ on both sides)

But that means we need:

$\left\mid m \right\mid = - 4$

But the absolute value of a number is always positive or $0$,

so there is no number whose absolute value is $- 4$.