Use the number line to graph the following inequality.

$x\ge -7$

• A.
• B.
• C.
• D.

Answer: (A)

Verified step by step guidance

1. Identify the inequality given: \(x \geq -7\), which means \(x\) is greater than or equal to \(-7\).
2. Locate the point \(-7\) on the number line. Since the inequality includes 'equal to', use a closed circle at \(-7\) to show that \(-7\) is included in the solution.
3. Determine the direction of the shading or arrow. Because \(x\) is greater than or equal to \(-7\), shade or draw an arrow to the right of \(-7\) to represent all numbers greater than \(-7\).
4. Combine the closed circle at \(-7\) and the arrow extending to the right to graphically represent the inequality \(x \geq -7\) on the number line.
5. Verify that the graph correctly shows all values starting at \(-7\) and extending infinitely to the right, indicating all numbers greater than or equal to \(-7\) are included.