Question

graph the compound inequality. x < 2 or x > 3 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 inequalities

We have two inequalities: $x < 2$ and $x>3$.

Step2: Graph $x < 2$

On the number - line, we use an open - circle at $x = 2$ (since $x$ is strictly less than 2) and draw an arrow to the left to represent all values of $x$ less than 2.

Step3: Graph $x>3$

On the number - line, we use an open - circle at $x = 3$ (since $x$ is strictly greater than 3) and draw an arrow to the right to represent all values of $x$ greater than 3.

Answer:

On the number - line, place an open - circle at $x = 2$ and draw an arrow to the left. Place an open - circle at $x = 3$ and draw an arrow to the right.