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 starting point of the green arrow. It begins at 1, and the point at 1 is solid, indicating that 1 is included in the solution set.
2. Notice the direction of the arrow. It extends to the right, which means the values of x are greater than or equal to 1.
3. Translate the graph into an inequality. Since the arrow includes 1 and extends to the right, the inequality is x \ge 1.
4. Confirm that the inequality matches the graph by checking that all values greater than or equal to 1 satisfy the condition shown by the arrow.
5. Therefore, the inequality that matches the graph is x \ge 1.