# How do you solve an equation inequality an absolute value?

How do you solve an equation inequality an absolute value?
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Jaylen Fountain

The absolute value of a number can be brought out as a distance on the number line from the origin
The inequalities having absolute value isolate them on one side of the inequality.
Now write a double inequality for the variable to satisfy.
The first simply drops the absolute value. The second inequality drops the absolute value but reverses the inequality sign and by a factor of -1 .
Example, the given inequality,
$|x-5|<10$
Break up this into the equivalent inequalities.
$-10$
The final step is to isolate the variables and then plot the solution to the inequality by adding 5 to both sides.
$-5$
Hence, the solution is $-5$

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