Answer:
The solution set is x < 2.7
Step-by-step explanation:
To start, get all of the x terms on the right side and all the constant terms on the left.
1/5 + 1/3x > 1/2x - 1/4
1/5 + 1/4 + 1/3x > 1/2x
1/5 + 1/4 > 1/2x - 1/3x
Now give the terms on each side common denominators.
4/20 + 5/20 > 3/6x - 2/6x
9/20 > 1/6x
Now we can multiply both sides by 6.
27/10 > x
2.7 > x
The correct option is (A)
![8^{ \frac{8}{3} }](https://tex.z-dn.net/?f=%208%5E%7B%20%5Cfrac%7B8%7D%7B3%7D%20%7D%20)
Explanation:
Given expression:
![(8^{ \frac{2}{3} })^4](https://tex.z-dn.net/?f=%288%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%29%5E4)
Which is (Option A)
![8^{ \frac{8}{3} }](https://tex.z-dn.net/?f=%208%5E%7B%20%5Cfrac%7B8%7D%7B3%7D%20%7D%20)
= 256 =
![(8^{ \frac{2}{3} })^4](https://tex.z-dn.net/?f=%288%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%29%5E4)
(Check)
Let,
12x + 15y =34--------(1)
-6x + 5y =3-------(2)
(2) x 2 = -12x + 10y =6-------(3)
(3) + (1)
20y =40
y= 2
substitute y=2 into (1)
12x + 15(2) =34
12x =4
x= 1/3
First, subtract x from both sides of the equation. Second, divide by 4 on both sides of the equations. At this point you should have y= 3 - x because 12 divided by 4 equals 3. So, to get it into slope intercept form (since slope intercept form is y = mx + b) in the end you should have y = -x + 3. :)