Finite Math Examples

$| 4 + n | = 2$

Step 1

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

$4 + n = \pm 2$

Step 2

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

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Step 2.1

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

$4 + n = 2$

Step 2.2

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

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Step 2.2.1

Subtract $4$ from both sides of the equation.

$n = 2 - 4$

Step 2.2.2

Subtract $4$ from $2$ .

$n = - 2$

Step 2.3

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

$4 + n = - 2$

Step 2.4

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

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Step 2.4.1

Subtract $4$ from both sides of the equation.

$n = - 2 - 4$

Step 2.4.2

Subtract $4$ from $- 2$ .

$n = - 6$

Step 2.5

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

$n = - 2, - 6$