Question

graph the compound inequality.

8 ≤ x < 10

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.

submit

Explanation:

Step1: Analyze the inequality symbols

For \(8\leq x\), the symbol \(\leq\) means \(8\) is included. So, we plot a closed - circle at \(x = 8\).
For \(x<10\), the symbol \(<\) means \(10\) is not included. So, we plot an open - circle at \(x = 10\).

Step2: Connect the endpoints

Since \(x\) is between \(8\) and \(10\) (including \(8\) and excluding \(10\)), we draw a line segment connecting the closed - circle at \(8\) and the open - circle at \(10\) on the number line.

Answer:

Plot a closed - circle at \(8\) and an open - circle at \(10\), then draw a line segment between them on the number line.