Question

graph the compound inequality on the number line
$x < -6$ or $x \geq -1$
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Explanation:

Step1: Graph \(x < - 6\)

For \(x < -6\), we use an open circle at \(-6\) (because \(-6\) is not included in the solution set) and draw an arrow to the left.

Step2: Graph \(x\geq - 1\)

For \(x\geq -1\), we use a closed circle at \(-1\) (because \(-1\) is included in the solution set) and draw an arrow to the right.

Answer:

On the number - line, there is an open circle at \(-6\) with an arrow pointing to the left and a closed circle at \(-1\) with an arrow pointing to the right.