Question

graph the compound inequality on the number line.
x < -4 or x ≥ 2

Explanation:

Step1: Graph \(x < - 4\)

For \(x < - 4\), we use an open circle at \(-4\) (because \(-4\) is not included in the solution set) and draw an arrow to the left.

Step2: Graph \(x\geq2\)

For \(x\geq2\), we use a closed circle at \(2\) (because \(2\) is included in the solution set) and draw an arrow to the right.

Answer:

The graph has an open circle at \(-4\) with an arrow to the left and a closed circle at \(2\) with an arrow to the right on the number - line.