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QUESTION IMAGE

graph the compound inequality. -1 < x < 4 plot the endpoints. select an…

Question

graph the compound inequality. -1 < x < 4 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 the inequality type

The given inequality $-1 < x < 4$ is a compound - strict inequality.

Step2: Determine the endpoints

The endpoints are $x=-1$ and $x = 4$. Since the inequality is strict ($<$ not $\leq$), we use open circles at $x=-1$ and $x = 4$.

Step3: Shade the interval

We shade the region on the number - line between $x=-1$ and $x = 4$.

Answer:

On the number - line, place open circles at $x=-1$ and $x = 4$, and shade the region between these two points.