Question

select the correct number line that represents the inequality: x>3

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x > 3\) has a "greater than" symbol (\(>\)). When graphing \(x>3\) on a number - line, we use an open circle at \(x = 3\) because \(3\) is not included in the solution set.

Step2: Determine the direction of the arrow

Since \(x\) is greater than \(3\), the arrow should point to the right (towards larger numbers).

Answer:

The third option (the number - line with an open circle at \(3\) and an arrow pointing to the right) is the correct representation of the inequality \(x>3\).