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QUESTION IMAGE

timed problem score:4/10 current time:59.9 which inequality is represen…

Question

timed problem
score:4/10 current time:59.9
which inequality is represented on the line?
number line with a green dot at 5
answer
x ≥ 5 x > 5 x < 5 x ≤ 5

Explanation:

Step1: Analyze the number line

The number line has a closed dot at 5, which means 5 is included in the solution set. The arrow points to the right, indicating values greater than or equal to 5.

Step2: Match with inequalities

  • \(x > 5\) would have an open dot (not including 5), so it's incorrect.
  • \(x < 5\) points left, incorrect.
  • \(x \leq 5\) points left, incorrect.
  • \(x \geq 5\) has a closed dot and points right, matching the number line.

Answer:

\(x \geq 5\) (the first option: \(x \geq 5\))