Question

graph the compound inequality on the number line.
$x\leq4$ or $x\geq7$

Explanation:

Step1: Graph \(x\leq4\)

For \(x\leq4\), we use a closed circle at \(x = 4\) (because the inequality includes equality, \(\leq\)) and draw an arrow to the left (towards the smaller numbers).

Step2: Graph \(x\geq7\)

For \(x\geq7\), we use a closed circle at \(x = 7\) (because the inequality includes equality, \(\geq\)) and draw an arrow to the right (towards the larger numbers).

Answer:

On the number - line, place a closed circle at \(4\) and shade to the left of \(4\), and place a closed circle at \(7\) and shade to the right of \(7\).