Question

Simplify this math

|x − (−12)| if x < −12

Thank you!

Answer 1

-x-12

Explanation:

The simply answer

Answer 2

-x-12

Explanation:

Given:

`\displaystyle \largex-(-12)`

Simplify:

We know that negative times negative equals positive, therefore:

`\displaystyle \largex+12`

Modulus Property:

`\displaystyle \large{|x+a| = \begin{cases} x+a \quad (x \geq -a) \\ -x-a \quad (x < -a) \end{cases}}`

Therefore, since given interval is x < -12:

`\displaystyle \large \quad (x < -12) = -x-12`

Hence, simplified expression is -x - 12