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timed problem score: 6/10 current time: 75.0 which inequality is repres…

Question

timed problem
score: 6/10 current time: 75.0
which inequality is represented on the line?
answer
x ≥ -9 x > -9 x < -9 x ≤ -9

Explanation:

Step1: Analyze the number line

The number line has a closed (filled) circle at -9, and the arrow is pointing to the left. A closed circle means the point is included, and the leftward arrow means values less than or equal to -9.

Step2: Match with inequalities

  • \(x\geq -9\) would have a closed circle and arrow to the right.
  • \(x > -9\) would have an open circle and arrow to the right.
  • \(x < -9\) would have an open circle and arrow to the left.
  • \(x\leq -9\) has a closed circle (since -9 is included) and arrow to the left (values less than or equal to -9), which matches the number line.

Answer:

\(x\leq -9\) (the fourth option: \(x\leq -9\))