Question

timed problem
score: 2/10 current time: 35.8
which inequality is represented on the line?
number line image
answer
options: x (with a hand icon), x > 7, x ≤ 7, x ≥ 7
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Explanation:

Step1: Analyze the number line

The dot on the number line is at 7 and filled (closed), which means 7 is included. The arrow is pointing to the left, indicating values less than or equal to 7.

Step2: Match with inequalities

• \(x > 7\) would have an open dot and arrow right.
• \(x \geq 7\) would have closed dot and arrow right.
• \(x \leq 7\) has closed dot (includes 7) and arrow left (values less than or equal to 7), which matches the number line.
• The first option is incomplete, so we ignore it.

Answer:

\(x \leq 7\) (the third option: \(x \leq 7\))