Question

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

Explanation:

Step1: Mark the points on number - line

Mark $x = 3$ with an open circle (since $x<3$) and $x=-4$ with a closed circle (since $x\geq - 4$).

Step2: Shade the regions

Shade the region to the left of $x = 3$ and the region to the right of and including $x=-4$. The entire number - line is shaded because the union of $x < 3$ and $x\geq - 4$ covers all real numbers.

Answer:

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