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QUESTION IMAGE

timed problem score: 0/10 current time: 1.0 which inequality is represe…

Question

timed problem
score: 0/10 current time: 1.0
which inequality is represented on the line?
number line with a green dot at -9
answer
$x < -9$ $x > -9$ $x \leq -9$ $x \geq -9$

Explanation:

Step1: Analyze the number line

The number line has a closed (filled) circle at -9, which means -9 is included in the solution set. The arrow is pointing to the right, indicating all numbers greater than or equal to -9.

Step2: Match with inequalities

  • \( x < -9 \): Open circle at -9, arrow left. Incorrect.
  • \( x > -9 \): Open circle at -9, arrow right. Incorrect.
  • \( x \leq -9 \): Closed circle at -9, arrow left. Incorrect.
  • \( x \geq -9 \): Closed circle at -9, arrow right. Correct.

Answer:

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