Which inequality matches the graph?

• A. $x\ge1$
• B. $x\le1$
• C. $x>1$
• D. $x<1$

Answer: (A)

Verified step by step guidance

1. Observe the number line and identify the point where the shading starts. In this case, the shading starts at 2.
2. Note that the shading includes the point 2 itself, which is indicated by a bracket (or closed circle) at 2, meaning the inequality includes equality (≥ or ≤).
3. The arrow points to the right, indicating that the values of x are greater than or equal to 2.
4. Write the inequality to represent all values of x starting from 2 and going to the right: \(x \geq 2\).
5. Confirm that this inequality matches the graph by checking the direction of the arrow and the inclusion of the endpoint.