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c) $x>2.5$

Question

c) $x>2.5$

Explanation:

Step1: Analyze the inequality symbol

The inequality is \(x>2.5\). The '>' symbol means the value \(2.5\) is not included in the solution set. So, on the number - line, we should have an open circle at \(2.5\).

Step2: Analyze the direction of the inequality

Since \(x\) is greater than \(2.5\), the values of \(x\) lie to the right of \(2.5\) on the number - line. So, the arrow should point to the right.

Answer:

We need to change the arrow direction (from left - pointing to right - pointing) and move the open circle from \(0\) to \(2.5\) on the number - line.