Question

pick the correct inequality
a) $x < -6$
c) $x > -6$
b) $x \geq -6$
d) $x \leq -6$

Explanation:

Step1: Analyze the number line

The number line has a closed dot at -6 (since the dot is filled, indicating inclusion) and the arrow points to the right, meaning all values greater than or equal to -6 are included.

Step2: Match with inequality options

• Option A: \(x < -6\) (open dot, left arrow) – incorrect.
• Option B: \(x \geq -6\) (closed dot, right arrow) – matches the number line.
• Option C: \(x > -6\) (open dot, right arrow) – incorrect.
• Option D: \(x \leq -6\) (closed dot, left arrow) – incorrect.

Answer:

B. \(x \geq -6\)