Answer:
[tex]|x - 120| \: > \: 0[/tex]
Step-by-step explanation:
We want to find the value of
[tex] |x - 120| [/tex]
if x is less than -120.
Recall the triangle inequality
[tex]|a - b| \geqslant |a| - |b|[/tex]
This implies that:
[tex] |x - 120| \geqslant |x| - |120| [/tex]
If x<-120, then
[tex] | x - 120| \: > \: | - 120| - |120| [/tex]
This implies that:
[tex] |x - 120| \: > \: 120 - 120[/tex]
[tex]|x - 120| \: > \: 0[/tex]
Answer:
-(x+120)
Step-by-step explanation:
We had to find the opposite of (x+120)
