Question

Simplify this math

|x − (−12)| if x < −12

Thank you!

Answer 1

Answer:

-x-12

Step-by-step explanation:

Given:

$\displaystyle \large{|x-(-12)| \quad (x < -12)}$

Simplify:

We know that negative times negative equals positive, therefore:

$\displaystyle \large{|x+12| \quad (x < -12)}$

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:

$\displaystyle \large{|x+12| \quad (x < -12) = -x-12}$

Hence, simplified expression is -x - 12

Answer 2

Answer:

-x-12

Step-by-step explanation:

The simply answer