Question

graph the compound inequality on the number line.
$x>3$ or $xleq -5$

Explanation:

Step1: Graph \(x > 3\)

For \(x>3\), we use an open - circle at \(x = 3\) (because \(3\) is not included in the solution set) and draw an arrow to the right.

Step2: Graph \(x\leq - 5\)

For \(x\leq - 5\), we use a closed - circle at \(x=-5\) (because \(-5\) is included in the solution set) and draw an arrow to the left.

Answer:

On the number line, there is a closed - circle at \(-5\) with an arrow to the left and an open - circle at \(3\) with an arrow to the right.