Solve the Absolute Value Inequality for n |n|=5

$| n | = 5$

Step 1

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$n = \pm 5$

Step 2

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$n = 5$

Next, use the negative value of the $\pm$ to find the second solution.

$n = - 5$

The complete solution is the result of both the positive and negative portions of the solution.

$n = 5, - 5$