SOLUTION: I am looking for the answer to the following problem. Please show all the steps. My mom and I are fueding over how to do this one!! lol!! 4/3r - 3 < r + 2/3 - 1/3r

Algebra ->  Linear-equations -> SOLUTION: I am looking for the answer to the following problem. Please show all the steps. My mom and I are fueding over how to do this one!! lol!! 4/3r - 3 < r + 2/3 - 1/3r      Log On


   

Question 403464: I am looking for the answer to the following problem. Please show all the steps. My mom and I are fueding over how to do this one!! lol!!
4/3r - 3 < r + 2/3 - 1/3r
Found 3 solutions by Alan3354, Mr.Math, nerdybill:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4/3r - 3 < r + 2/3 - 1/3r
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Assuming by 4/3r you mean (4/3)r and not 4/(3r):
4/3r - 3 < r + 2/3 - 1/3r
Add 3
4/3r < r + 11/3 - 1/3r
4r/3 < 2r/3 + 11/3
Subtract 2r/3
2r/3 < 11/3
Multiply by 3
2r < 11
r < 5.5

Answer by Mr.Math(29) About Me  (Show Source):
You can put this solution on YOUR website!
multiply right and left on 3:
4r+-+9+%3C+3r+%2B+2+-+r+
4r+-+9+%3C+2r+%2B+2
2r+%3C+11
r+%3C+11%2F2

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
4/3r - 3 < r + 2/3 - 1/3r
multiply both sides by 3:
4r - 9 < 3r + 2 - r
4r - 9 < 2r + 2
2r - 9 < 2
2r < 11
r < 11/2