Question

graph this compound inequality: $x < - 8$ or $xgeq3$
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
drag a point to the number line.

Explanation:

Step1: Graph \(x < - 8\)

On the number - line, place an open circle at \(x=-8\) (since \(x\) is strictly less than \(-8\)) and draw an arrow to the left to represent all values of \(x\) that are less than \(-8\).

Step2: Graph \(x\geq3\)

On the number - line, place a closed circle at \(x = 3\) (since \(x\) can be equal to \(3\)) and draw an arrow to the right to represent all values of \(x\) that are greater than or equal to \(3\).

Answer:

The graph has an open circle at \(x=-8\) with an arrow pointing left and a closed circle at \(x = 3\) with an arrow pointing right.