Question

timed problem
score: 3/10 current time: 30.4
which inequality is represented on the line?
(number line image)
answer
x < -2 x ≤ -2 x > -2 x ≥ -2

Explanation:

Step1: Analyze the number line

The dot on the number line is at -2, and it's a closed (filled) dot, which means -2 is included. The arrow is pointing to the right, so we consider values greater than or equal to -2.

Step2: Match with inequalities

• \(x < -2\): Open dot at -2, arrow left. Not matching.
• \(x \leq -2\): Closed dot at -2, arrow left. Not matching.
• \(x > -2\): Open dot at -2, arrow right. Not matching.
• \(x \geq -2\): Closed dot at -2, arrow right. Matches.

Answer:

\(x \geq -2\) (the fourth option: \(x \geq -2\))