# How do you simplify -| 5-8| - |-1| = |-6 + 3| + |-8| ?

May 22, 2017

See a solution process below:

#### Explanation:

First, execute the subtraction and addition operations within the two absolute value functions:

$- \left\mid \textcolor{red}{5 - 8} \right\mid - \left\mid - 1 \right\mid = \left\mid \textcolor{b l u e}{- 6 + 3} \right\mid + \left\mid - 8 \right\mid$

$- \left\mid \textcolor{red}{- 3} \right\mid - \left\mid - 1 \right\mid = \left\mid \textcolor{b l u e}{- 3} \right\mid + \left\mid - 8 \right\mid$

Next, execute the absolute value functions. Remember, the absolute value function takes any negative or positive number and converts it to it's positive form:

$- \left\mid - 3 \right\mid - \left\mid - 1 \right\mid = \left\mid - 3 \right\mid + \left\mid - 8 \right\mid$

$- 3 - 1 = 3 + 8$

$- 4 \ne 11$

Therefore, this equation is not true.