Question

graph the compound inequality.
2 ≤ 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.
0 2 4 6 8 10

Explanation:

Step1: Identify the endpoints

The compound inequality is \(2 \leq x \leq 10\). So the endpoints are \(x = 2\) and \(x=10\). Since the inequality signs are "less than or equal to" and "greater than or equal to", both endpoints are closed (filled circles).

Step2: Draw the segment

On the number line, we plot a closed circle at \(2\) and a closed circle at \(10\), then draw a line segment connecting these two points. This represents all the numbers \(x\) such that \(2\leq x\leq10\).

(Note: Since this is a graphing task, the visual representation would have closed circles at 2 and 10, with a line segment between them on the number line provided.)

Answer:

To graph \(2 \leq x \leq 10\), place a closed (filled) circle at \(2\) and a closed (filled) circle at \(10\) on the number line, then draw a line segment connecting these two circles.