Question

graph the compound inequality.
$x>0$ and $xleq10$
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 \(x > 0\)

For \(x>0\), we use an open - circle at \(x = 0\) (because \(0\) is not included in the solution set of \(x>0\)).

Step2: Analyze the inequality \(x\leq10\)

For \(x\leq10\), we use a closed - circle at \(x = 10\) (because \(10\) is included in the solution set of \(x\leq10\)).

Step3: Determine the solution set for the compound inequality

Since the compound inequality is \(x > 0\) and \(x\leq10\), the solution set is the intersection of the two sets. So we draw a line segment connecting the open - circle at \(0\) and the closed - circle at \(10\).

Answer:

On the number line, there is an open - circle at \(0\), a closed - circle at \(10\), and a line segment connecting them.