Question

Which graph represents the solution to the compound inequality?

4x + 8 < –16 or 4x + 8 ≥ 4

A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at negative 1.
A number line with a point at negative 6 with a bold line pointing to the right ending at the open circle at negative 1.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at negative 1 with a bold line pointing to the right.
A number line with a point at negative 6 with a bold line pointing to the left. An open circle at negative 1 with a bold line pointing to the right.

Answer 1

Solve each part:

4x + 8 < −16 → 4x < −24 → x < −6 (open circle at −6, arrow left)

4x + 8 ≥ 4 → 4x ≥ −4 → x ≥ −1 (closed dot at −1, arrow right)

So the graph is: open circle at −6 with a ray left, and a filled point at −1 with a ray right — the third option.