SOLUTION: 3x + 5 5x + 1 1 ______ - ________ > ___ 4 3 2 3x + 5 5x + 1 1 (12) ______ - (12) ________ > ___ (12) 4 3

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Question 360502: 3x + 5 5x + 1 1
______ - ________ > ___
4 3 2
3x + 5 5x + 1 1
(12) ______ - (12) ________ > ___ (12)
4 3 2

(3) 3x + 5 - (4) 5x + 1 > 6
9x + 15 - 20x + 4 > 6
11 - 11x > 6
-11x > -5
x < 5/11
Just want to know if I ended with the right answer?

Found 2 solutions by ewatrrr, JBarnum:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, you have the right idea multiplying each term on both sides of the equation by 12 and you have
the correct answer: however 9x + 15 - 20x + 4 > 6 , the +4 was not written as a -4
3x + 5 5x + 1 1
______ - ________ > ___
4 3 2
3(3x + 5) - 4(5x+1) > 1/2
9x + 15 -20x - 4 > 6
-11x + 11 > 6
-11x > -5
Dividing by -11, yes! does change the sign of the inequality
x < 5/11

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283x%2B5%29%2F4%29-%28%285x%2B1%29%2F3%29%3E%281%2F2%29
12%28%283x%2B5%29%2F4%29-12%28%285x%2B1%29%2F3%29%3E12%281%2F2%29

9x%2B15-20x-4%3E6
-11x%2B11%3E6
-11x%3E-5
highlight%28x%3C%285%2F11%29%29
You are indeed correct in the answer but your work is incorrect make sure to carry the negative in the distribution if all u needed was answer then u guessed correct, but if u were to review the work u did the answer u would get is x%3C%2813%2F11%29 the possitive 4 should be a negative 4 to have 15-4 and not 15+4