Question

unit 3 test
for #1 - 2, graph each inequality on the number line.

1. ( x < - 1 )

Explanation:

Step1: Identify the boundary point

The inequality is \(x < - 1\). The boundary point is \(x=-1\). Since the inequality is strict (\(<\)), we use an open circle at \(x = - 1\) on the number line.

Step2: Determine the direction of the graph

For \(x < - 1\), we shade the part of the number line to the left of \(x=-1\) because all values less than \(-1\) satisfy the inequality.

Answer:

On the number line, place an open circle at \(-1\) and shade the line to the left of \(-1\).