Question

Can you help me with this question I rlly need it rn and please use the options it gives you thank you<3

Answer 1

Answer: Choice C

Closed filled in circle at -3; shading to the right.

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Step-by-step explanation:

Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.

`-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\`

Here's another way to isolate x

`-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\\\\`

The inequality sign flip happens much earlier when we go from the format of
`A \le B` to
`B \ge A` (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.