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 direction of the arrow. The arrow points to the left, indicating values less than a certain number.
2. Look at the point where the arrow stops or changes direction. Here, the arrow stops at 1.
3. Check if the point at 1 is included or excluded. The point at 1 is an open circle, meaning 1 is not included in the solution.
4. Translate this information into an inequality. Since the arrow points to values less than 1 and does not include 1, the inequality is \(x < 1\).
5. Confirm that the inequality matches the graph: all values less than 1, excluding 1, are represented by \(x < 1\).