Question

Can someone please help? i don’t know how to solve this.

Answer 1

x >= 2 or x <= -2

Explanation:

|x|>= 2

Means the absolute value of x is greater than or equal to two.

When we deal with absolute value, we can equivalently break into two cases

+x >= 2 => x >= 2

-x >= 2 => x <= -2

On the number line it looks like what is shown in the attached figure.

Answer 2

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)