Question

there are four number lines labeled a, b, c, d. each has markings from -5 to 10. a: blue line starts at solid dot on 3, extends right. b: green line starts at solid dot on 3, extends left. c: pink line starts at open dot on 3, extends left. d: red line starts at open dot on 3, extends right. question is likely about identifying the correct number line for an inequality (e.g., x ≥ 3, x ≤ 3, x < 3, x > 3).

Explanation:

To solve this, we analyze each number line:

• Option A: The blue line starts at 3 (closed dot, so \( x \geq 3 \)) and extends to the right.
• Option B: The green line starts at 3 (closed dot) and extends to the left (\( x \leq 3 \)), which matches the direction of the green arrow (left).
• Option C: The pink line has an open dot at 3 (so \( x < 3 \)) and extends left, but the open dot contradicts "includes 3".
• Option D: The red line has an open dot at 3 (so \( x > 3 \)) and extends right, which does not match.

Answer:

B. The green number line with a closed dot at 3 and extending left (representing \( x \leq 3 \))