Question

graph the compound inequality.
$0 < x < 2$
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Identify inequality endpoints

The inequality is $0 < x < 2$, so endpoints are $x=0$ and $x=2$.

Step2: Mark endpoints as open circles

Since the inequality uses $<$ (not $\leq$), both endpoints are excluded, so we use open circles at $0$ and $2$ on the number line.

Step3: Shade between endpoints

Shade the segment of the number line that lies between the open circles at $0$ and $2$, as this represents all values of $x$ that satisfy $0 < x < 2$.

Answer:

• Draw an open circle at $x=0$ and an open circle at $x=2$ on the provided number line.
• Shade the line segment connecting these two open circles.