Question

1) |x-(-18)| if x<-18 2) |2x| if x<0 3) |x-120| if x<120

Answer 1

The results of the absolute value expressions are:

• |x - (-18)| if x < -18 is greater than 0
• |2x| if x < 0 is greater than 0
• |x - 120| if x<120 is greater than 0

How to solve the absolute value expressions

Expression 1:

We have: |x - (-18)| if x<-18

Open the bracket

|x + 18|

If x < -18, then the values of x are above -18 i.e. -19, -20...

This means that: |x + 18| > 0

Hence, |x - (-18)| if x < -18 is greater than 0

Expression 2:

We have: |2x| if x < 0

If x < 0, then the above equation would be greater than 0

Hence, |2x| if x < 0 is greater than 0

Expression 3:

We have: |x - 120| if x<120

If x < 120, then the values of x are less 120 i.e. 119, 118...

This means that: |x - 120| > 0

Hence, |x - 120| if x<120 is greater than 0

Read more about absolute value expressions at:

brainly.com/question/3381225

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