Question

Math help please! |120+x| x<-120

Answer 1

Answer:

-120-x

Step-by-step explanation:

Given:

$\displaystyle \large{|120+x| \quad (x < -120)}$

This is the same as previous one. Recall modulus property:

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

Keep in mind that |x+a| and |a+x| are equal via addition property.

Since the question gives interval of x < -120:

Therefore, the expression is -120-x