Question

2 graph your solution to the inequality. |m| ≤ 6

Explanation:

Step1: Recall absolute - value inequality rule

If \(|x|\leq a\) (\(a\geq0\)), then \(-a\leq x\leq a\). For \(|m|\leq6\), we have \(- 6\leq m\leq6\).

Step2: Graph on number - line

On the number - line, we mark the points \(m=-6\) and \(m = 6\) with closed circles (because the inequality includes equality, \(\leq\)). Then we draw a line segment connecting these two points to represent all the values of \(m\) that satisfy the inequality.

Answer:

On the number - line, mark closed circles at \(m=-6\) and \(m = 6\), and draw a line segment between them.