Use the number line to graph the following inequality.

$x\ge 6$

• A.
• B.
• C.
• D.

Answer: (C)

Verified step by step guidance

1. Identify the inequality given: \(x \ge 6\), which means \(x\) is greater than or equal to 6.
2. Locate the number 6 on the number line. This is the boundary point for the inequality.
3. Since the inequality includes 'equal to' (\(\ge\)), use a closed circle or solid dot at 6 to indicate that 6 is included in the solution.
4. Shade or draw an arrow to the right of 6 on the number line to represent all numbers greater than 6.
5. Verify that the graph correctly shows a closed circle at 6 and shading extending to the right, indicating \(x \ge 6\).