Question

which inequality is represented by a closed circle at 5 and shading to the right on a number line? a. $xgeq5$ b. $x < 5$ c. $xleq5$ d. $x > 5$

Explanation:

Step1: Analyze the meaning of closed circle

A closed circle on a number line means the number is included in the solution set. So for a closed circle at \(5\), the inequality includes \(x = 5\).

Step2: Analyze the meaning of shading to the right

Shading to the right on a number line means the values of \(x\) are greater than the number. Since the number is \(5\) and \(5\) is included (closed - circle), the inequality is \(x\geq5\).

Answer:

A. \(x\geq5\)