Solve for n |n|+1=2

$| n | + 1 = 2$

Step 1

Move all terms not containing $| n |$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$| n | = 2 - 1$

Subtract $1$ from $2$ .

$| n | = 1$

Step 2

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

$n = \pm 1$

Step 3

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.

$n = 1$

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

$n = - 1$

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

$n = 1, - 1$