Answer:
what do we solve x or y?
Step-by-step explanation:
Answer:
7x^2-x-14
Step-by-step explanation:
Answer:
Has one to one correspondence
Your answer is going to be 21 u just subract from the number to get ur answer
Hello.
Let's solve the absolute value inequality.
In order to do that, let's imagine that |3x-4| is positive.
Since the absolute value of |3x-4| is 3x-4, we write 3x-4 and solve:
![\mathrm{3x-4\geq 8}](https://tex.z-dn.net/?f=%5Cmathrm%7B3x-4%5Cgeq%208%7D)
Now, move -4 to the right, using the opposite operation:
![\mathrm{3x\geq 8+4}](https://tex.z-dn.net/?f=%5Cmathrm%7B3x%5Cgeq%208%2B4%7D)
Add:
![\mathrm{3x\geq 12}](https://tex.z-dn.net/?f=%5Cmathrm%7B3x%5Cgeq%2012%7D)
Divide both sides by 3:
![\mathrm{x\geq 4}](https://tex.z-dn.net/?f=%5Cmathrm%7Bx%5Cgeq%204%7D)
However, this is only 1 solution.
Let's imagine that |3x-4| is a negative number.
So, the inequality looks like so:
![\mathrm{-3x+4\geq 8}](https://tex.z-dn.net/?f=%5Cmathrm%7B-3x%2B4%5Cgeq%208%7D)
Move 4 to the right:
![\mathrm{-3x\geq 8-4}](https://tex.z-dn.net/?f=%5Cmathrm%7B-3x%5Cgeq%208-4%7D)
![\mathrm{-3x\geq 4}](https://tex.z-dn.net/?f=%5Cmathrm%7B-3x%5Cgeq%204%7D)
Divide both sides by -3:
![\mathrm{x\leq \displaystyle-\frac{4}{3} }](https://tex.z-dn.net/?f=%5Cmathrm%7Bx%5Cleq%20%5Cdisplaystyle-%5Cfrac%7B4%7D%7B3%7D%20%7D)
Therefore, the solutions are
![\mathrm{x\geq 4}\\\mathrm{x\leq \displaystyle-\frac{4}{3} }](https://tex.z-dn.net/?f=%5Cmathrm%7Bx%5Cgeq%204%7D%5C%5C%5Cmathrm%7Bx%5Cleq%20%5Cdisplaystyle-%5Cfrac%7B4%7D%7B3%7D%20%7D)
Note:
If we divide both sides of an inequality by a negative number, we flip the inequality sign.
I hope this helps you.
Have a nice day.
![\boxed{imperturbability}](https://tex.z-dn.net/?f=%5Cboxed%7Bimperturbability%7D)