Which inequality matches the graph?

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

Answer: (D)

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, and the point at 1 is an open circle, meaning 1 is not included in the solution.
3. Since the arrow points to the left and does not include 1, the inequality represents values less than 1, but not equal to 1.
4. Write the inequality using the variable x: \(x < 1\).
5. Confirm that the inequality matches the graph by checking that all values less than 1 are included and 1 itself is excluded.