Question

graph the inequality below on the number line. x < - 2

Explanation:

Step1: Identify the boundary point

The inequality is \(x < - 2\), the boundary - point is \(x=-2\).

Step2: Determine the type of circle

Since the inequality is strict (\(<\)), we use an open circle at \(x = - 2\) on the number line.

Step3: Shade the appropriate region

We shade the region to the left of \(x=-2\) because values less than \(-2\) satisfy the inequality \(x < - 2\).

Answer:

On the number - line, place an open circle at \(-2\) and shade the line to the left of \(-2\).