Question

graph the solution set for x<3 or x≥ -4.

Explanation:

Step1: Mark - 4 on number line

Use a closed circle at $x = - 4$ since $x\geq - 4$ includes $-4$.

Step2: Shade right of - 4

Shade the region to the right of $-4$ on the number - line to represent $x\geq - 4$.

Step3: Mark 3 on number line

Use an open circle at $x = 3$ since $x\lt3$ does not include $3$.

Step4: Shade left of 3

Shade the region to the left of $3$ on the number - line to represent $x\lt3$. Since it is an "or" statement, the entire number line between and beyond these two points is shaded.

Answer:

The entire number line is shaded with a closed circle at $x=-4$ and an open circle at $x = 3$.