Answer
$(-\infty, -4] \cup [-3, +\infty)$
Refer to the image below for the graph.
Work Step by Step
Graph each inequality. (refer to the attached image below)
The conjunction used is OR, which means that the solution set contains the combined elements of the two inequalities.
$x \ge -3$ includes all the numbers to the right of -3, including -3 itself
$\\x \le -4$ includes all the numbers to the left of -4, including -4 itself
Combining the elements of these two inequalities gives the solution set:
$(-\infty, -4] \cup [-3, +\infty)$