Question

solve the inequality that the graph represents.

Explanation:

Step1: Analyze the number line

The number line has a mark at 10, and the arrow is pointing to the left, indicating values less than or equal to 10 (assuming the filled or open circle, but from the context, likely \( x \leq 10 \) or similar, but let's check the graph. Wait, the graph shows a number line from 0 to 10, with a mark at 10, and the direction. Wait, maybe the inequality is \( x \leq 10 \) or \( x < 10 \). Wait, the original problem: "Solve the inequality that the graph represents". Let's assume the number line has a closed circle at 10 and arrow left, so \( x \leq 10 \), or open? Wait, the image: the number line has 0,1,2,...10, with a mark at 10, and the arrow direction. Wait, maybe the correct inequality is \( x \leq 10 \) or \( x < 10 \). Wait, let's re-express.

Wait, the number line: from 0 to 10, with a point at 10, and the arrow going left (towards lower numbers). So if it's a closed circle (filled), then \( x \leq 10 \); if open, \( x < 10 \). But the image shows a mark at 10, maybe closed. So the inequality is \( x \leq 10 \) (or maybe \( x < 10 \), but let's check the options. Wait, the options are (a), (b), (c)? Wait, the user's image: the number line has 0-10, mark at 10, arrow left. So the inequality is \( x \leq 10 \) (if closed) or \( x < 10 \) (if open). But maybe the correct answer is \( x \leq 10 \) or \( x < 10 \). Wait, maybe the graph is \( x \leq 10 \).

Step2: Determine the inequality

Assuming the circle at 10 is closed (filled), the inequality is \( x \leq 10 \). If open, \( x < 10 \). But from the image, let's confirm. The number line: 0,1,2,3,4,5,6,7,8,9,10. The mark is at 10, arrow left. So the solution is all numbers less than or equal to 10, so \( x \leq 10 \).

Answer:

\( x \leq 10 \) (or \( x < 10 \) if the circle is open; but based on typical problems, likely \( x \leq 10 \))