Use the number line to graph the following inequality.

$x\ge 6$

• A.
• B.
• C.
• D.

Answer: (C)

Verified step by step guidance

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