Question

graph the solution to the inequality on the number line.
|x| > 2

Explanation:

Step1: Rewrite absolute value inequality

For $|x| > a$ (where $a>0$), this is equivalent to $x > a$ or $x < -a$. So:
$x > 1$ or $x < -1$

Step2: Plot on number line

• For $x < -1$: Place an open circle at $x=-1$, then draw an arrow pointing left (towards negative infinity).
• For $x > 1$: Place an open circle at $x=1$, then draw an arrow pointing right (towards positive infinity).

Answer:

On the provided number line:

1. Mark an open circle at $-1$ and draw a line/arrow extending to the left from this point.
2. Mark an open circle at $1$ and draw a line/arrow extending to the right from this point.