The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides
Step-by-step explanation:
Given inequality that the teacher wrote is:
![\frac{x}{6} -2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20-2)
Solving an inequality means that the variable should be isolated on left side of the inequality.
So multiplying both sides by 6
![6* \frac{2}{6} < -2 * 6\\x < -12](https://tex.z-dn.net/?f=6%2A%20%5Cfrac%7B2%7D%7B6%7D%20%3C%20-2%20%2A%206%5C%5Cx%20%3C%20-12)
Vincent got the answer is x<-2 = > The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides
Keywords: Inequality, solution
Learn more about inequalities at:
#LearnwithBrainly
Answer:
= 6.2g+9
Step-by-step explanation:
Hi there!
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I believe your answer is:
"Add 4 to both sides, and then divide by 2. The solution is x = 12."
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Here’s why:
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- To solve for 'x', we would have to use inverse operations.
- We would first have to add four to both sides to undo the negative four. Addition is the opposite of subtraction.
- We would then divide by 2 to isolate 'x'. Division is the opposite of multiplication.
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![\boxed{\text{Solving for 'x'...}}\\\\2x - 4 = 20\\------------\\\rightarrow 2x - 4 + 4 = 20 + 4\\\\\rightarrow 2x = 24\\\\\rightarrow \frac{2x=24}{2}\\\\\rightarrow \boxed{x = 12}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BSolving%20for%20%27x%27...%7D%7D%5C%5C%5C%5C2x%20-%204%20%3D%2020%5C%5C------------%5C%5C%5Crightarrow%202x%20-%204%20%2B%204%20%3D%2020%20%2B%204%5C%5C%5C%5C%5Crightarrow%202x%20%3D%2024%5C%5C%5C%5C%5Crightarrow%20%5Cfrac%7B2x%3D24%7D%7B2%7D%5C%5C%5C%5C%5Crightarrow%20%5Cboxed%7Bx%20%3D%2012%7D)
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Hope this helps you. I apologize if it’s incorrect.
Add 7 to both sidesx.
x>1
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