SOLUTION: How do you solve (7/9)v + 5/12 - (3/18)v ≥ (3/4)v + 1/3? Please show the step-by-step solution because this is a homework problem. I tried the problem, but I know I am wrong.

Algebra ->  Inequalities -> SOLUTION: How do you solve (7/9)v + 5/12 - (3/18)v ≥ (3/4)v + 1/3? Please show the step-by-step solution because this is a homework problem. I tried the problem, but I know I am wrong.      Log On


   

Question 689580: How do you solve (7/9)v + 5/12 - (3/18)v ≥ (3/4)v + 1/3? Please show the step-by-step solution because this is a homework problem. I tried the problem, but I know I am wrong. I just can't find the mistake!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve (7/9)v + 5/12 - (3/18)v ≥ (3/4)v + 1/3?
:
%287%2F9%29v + 5%2F12 - %283%2F18%29v >= %283%2F4%29v + 1%2F3
We can get rid of all these denominators by multiplying by 36, resulting in
4(7v) + 3(5) - 2(3v) >= 9(3v) + 12
do the math
28v + 15 - 6v >= 27v + 12
Combine like terms
28v - 6v - 27v >= 12 - 15
-5v >= -3
v has to be positive, mult by -1, this reverses the inequality sign:
5v <= 3
v <= 3%2F5