## Related questions with answers

Question

An alternate definition of absolute value is

$|a|=\left\{\begin{array}{l} a \text { if } a \text { positve or zero. } \\ -a \text { if } a \text { is negative. } \end{array}\right.$

(NOTE: $-a$ is the opposite of $a$.) Using this definition, calculate the following values.

$|-x| \text { if } -x>0$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2As $-x>0$ it means $x<0$, so we can write it as $x=-a$ with $a>0$.

We have:

$|-x|=|-(-a)|=|a|=a=-x$

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