Answer: Choice C
Closed filled in circle at -3; shading to the right.
========================================================
Explanation:
Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.
[tex]-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\[/tex]
Here's another way to isolate x
[tex]-4x+8 \le 20\\\\8 \le 20+4x\\\\4x+20 \ge 8\\\\4x \ge 8-20\\\\4x \ge -12\\\\x \ge -12/4\\\\x \ge -3\\\\[/tex]
The inequality sign flip happens much earlier when we go from the format of [tex]A \le B[/tex] to [tex]B \ge A[/tex] (in step 3)
The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.
This is why we go for choice C.
