Question

what inequality does this number line show?
-10 -9 -8 -7 -6 -5
write your answer starting with x (for example, x < 3).

Explanation:

Step1: Analyze the number line

The number line has a filled - in dot at - 9, and the arrow is pointing to the left (towards smaller numbers). A filled - in dot means that the number - 9 is included in the solution set.

Step2: Determine the inequality

Since the arrow is to the left (values less than or equal to - 9) and - 9 is included (because of the filled dot), the inequality is \(x\leq - 9\).

Answer:

\(x\leq - 9\)