Finite Math Examples

$h (x) = | x | - 5$

Step 1

Set $| x | - 5$ equal to $0$ .

$| x | - 5 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Add $5$ to both sides of the equation.

$| x | = 5$

Step 2.2

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

$x = \pm 5$

Step 2.3

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

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Step 2.3.1

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

$x = 5$

Step 2.3.2

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

$x = - 5$

Step 2.3.3

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

$x = 5, - 5$

Step 3