Mathematics: Solve the following - find all possible values for a |a|=−a |a–5|=5–a a+5=−5−a a+5=5+a x−(−18) if x −18 x−(−18), if x −18

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Solve the following - find all possible values

arivalen

15.01.2022

The definition of an absolute value:

$|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a$

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$|a|=-a\to\boxed{a$

$\text{If you mean absolute value}\\\\|x+18|=\left\{\begin{array}{ccc}x+18&for&x\geq-18\\-x-18&for&x-18\\--------------\\|x-(-18)|=-x-18\ for\ x$

$\text{If you mean absolute value in third and fourth examples, then}\\\\|a+5|=\left\{\begin{array}{ccc}a+5&for&a\geq-5\\-a-5&for&a$

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