# Thread: Intervals On Number Line

1. ## Intervals On Number Line

The set of real numbers satisfying the given inequality is one or more intervals on the number line. Show the intervals on a number line.

|x| < 2

We have the absolute value of x is less than 2.

Must I solve for x before plotting on the number line?

|x| < 2

-2 < x < 2

This leads to (-2, 2). Correct?

<-------(-2)-------------(0)--------------(2)---------->

Is this right?

2. ## Re: Intervals On Number Line

you must at least solve for $x$ in spirit. Otherwise how will you know how to show the interval on the number line?

Personally I think making you show the numbers on the number line is a bit remedial.

Showing the solution as a union of intervals is just as good and doesn't require all the drawing.

your answer of $|x| < 2 \Rightarrow x \in (-2,2)$ is correct

Good.