Question

c) $x>0.5$
change endpoint solidity
change arrow direction

Explanation:

Step1: Analyze the inequality

The inequality is \(x > 0.5\). On a number line, for \(x>a\) (where \(a = 0.5\) here), we use an open circle at \(a\) (because \(x\) is not equal to \(0.5\)) and the arrow should point to the right (towards larger numbers).

Step2: Check the given number - line

In the given number - line, the circle at \(0\) (not \(0.5\)) is open and the arrow points to the left. This is incorrect for the inequality \(x>0.5\).

Answer:

The number - line is incorrect for the inequality \(x > 0.5\). The open circle should be at \(0.5\) and the arrow should point to the right.