Question

what inequality does this number line show?
write your answer starting with x (for example, x < 3).

Explanation:

Step1: Analyze the number line

The number line has a closed dot (filled circle) at 51, and the red arrow is pointing to the left (towards smaller numbers). A closed dot means the number 51 is included in the solution set.

Step2: Determine the inequality

Since the arrow is to the left (values less than or equal to 51) and 51 is included (because of the closed dot), the inequality is \( x \leq 51 \).

Answer:

\( x \leq 51 \)