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Answer plspslspslspl.

Answer plspslspslspl.-example-1
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Start with definition of absolute value, |x|.

It says, |x| = x, for any x >= 0 and

|x| = -x, for any x < 0

Now, instead of x, we have the expression x+120 inside the absolute value brackets:

|x+120|

Play the same game as above - what is the absolute value here?

|x+120| = x+120 for (x+120)>=0 and

|x+120| = -(x+120) for (x+120)<0

Now, recognize that the last condition (x+120)<0 is the same as writing x<-120. That is the condition in the question. Therefore the absolute value |x+120| will equal the second expression (for that condition), namely -(x+120), or -x-120.

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