Question

1. graph the interval represented in interval notation on the number line. (-5,7)

Explanation:

Step1: Identify interval type

The interval $(-5,7)$ is an open - interval. Open intervals do not include the endpoints.

Step2: Locate endpoints on number line

Locate $- 5$ and $7$ on the number line.

Step3: Graph the interval

Draw an open circle at $-5$ and an open circle at $7$, then shade the region between them.

Answer:

On the number line, draw open circles at $-5$ and $7$, and shade the region between these two points.