Use the number line to graph the following inequality.

$x\ge -7$

• A.
• B.
• C.
• D.

Answer: (A)

Verified step by step guidance

1. Step 1: Identify the inequality given, which is \(x \geq -7\). This means we are looking for all values of \(x\) that are greater than or equal to \(-7\).
2. Step 2: Locate the point \(-7\) on the number line. This is the boundary point where the shading or arrow will start.
3. Step 3: Since the inequality includes 'greater than or equal to' (\(\geq\)), use a closed circle or bracket at \(-7\) to indicate that \(-7\) is included in the solution set.
4. Step 4: Shade or draw an arrow to the right of \(-7\) on the number line to represent all values greater than \(-7\). This shows the solution set extends from \(-7\) to positive infinity.
5. Step 5: Verify that the graph correctly represents \(x \geq -7\) by checking that the closed circle is at \(-7\) and the arrow extends to the right, covering all numbers greater than or equal to \(-7\).