Answer:
![x\geq 12](https://tex.z-dn.net/?f=x%5Cgeq%2012)
x is greater than or equal to 12
Step-by-step explanation:
We first start off with recognizing that this is an <u>inequality</u>, and that the answer choices involve <u>solving for </u>
.
I suggest that you write out the steps <em>one-by-one</em> and don't skip any so that making a mistake is less likely.
<u>Rewrite the original equation:</u>
![-\frac{3}{4}x + 2 \leq -7](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7Dx%20%2B%202%20%5Cleq%20-7)
<u>Use reverse PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) order to isolate </u>
:
Subtract 2 from both sides: ![-\frac{3}{4} x \leq -9](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D%20x%20%5Cleq%20-9)
Divide both sides by
(this flips the inequality symbol since we're dividing by a negative number): ![x\geq 12](https://tex.z-dn.net/?f=x%5Cgeq%2012)
Your final answer is:
x is greater than or equal to 12
If you want to do any <u>further reading</u> on this topic, search up videos and other helpful resources by putting, "Solving Inequalities" into your preferred search engine.