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 to be graphed, which is \(x \ge 6\). This means we are looking for all values of \(x\) that are 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 'greater than or equal to' (\(\ge\)), use a closed circle at 6 to indicate that 6 is included in the solution set.
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: Verify that the graph correctly shows a closed circle at 6 and an arrow extending to the right, indicating \(x \ge 6\).