Question

select the correct number line that represents the inequality: $x \leq 3$

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x\leq3\) has a “\(\leq\)” symbol. This means the number \(3\) is included in the solution set. On a number - line, a closed - circle (filled - in circle) is used to represent that the number is included.

Step2: Analyze the direction of the inequality

Since \(x\) is less than or equal to \(3\), the values of \(x\) are to the left of \(3\) on the number - line.

Answer:

The third number - line (the one with a closed - circle at \(3\) and the red line going to the left) is the correct representation of the inequality \(x\leq3\).