Which inequality matches the graph?

• A. $x\ge 1$
• B. $x\le 1$
• C. $x>1$
• D.

Answer: (A)

Verified step by step guidance

1. Observe the number line graph. The green arrow starts at 1 and extends to the right, indicating all values greater than or equal to 1 are included.
2. Note that the point at 1 is marked with a solid bracket, which means the value 1 itself is included in the solution set.
3. Since the arrow extends to the right, it represents values of x that are greater than or equal to 1.
4. Translate this observation into an inequality: x is greater than or equal to 1, which is written as \(x \ge 1\).
5. Compare this inequality with the given options and select the one that matches \(x \ge 1\).