Finite Math Examples

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

Step 1

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

$| x - 5 | = 0$

Step 2

Solve for $x$ .

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Step 2.1

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

$x - 5 = \pm 0$

Step 2.2

Plus or minus $0$ is $0$ .

$x - 5 = 0$

Step 2.3

Add $5$ to both sides of the equation.

$x = 5$

Step 3