SOLUTION: 4/3r-3 < r-2/3-1/3r

Algebra ->  Inequalities -> SOLUTION: 4/3r-3 < r-2/3-1/3r      Log On


   

Question 107976This question is from textbook Algebra 1
: 4/3r-3 < r-2/3-1/3r This question is from textbook Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F3%29r-3%3Cr-2%2F3-%281%2F3%29r Start with the given equation



%283%29%28%284%2F3%29r-3%29%3C%283%29%28r-2%2F3-%281%2F3%29r%29 Multiply both sides by the LCM of 3. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



4r-9%3C3r-2-r Distribute and multiply the LCM to each side




4r-9%3C2r-2 Combine like terms on the right side


4r%3C2r-2%2B9Add 9 to both sides


4r-2r%3C-2%2B9 Subtract 2r from both sides


2r%3C-2%2B9 Combine like terms on the left side


2r%3C7 Combine like terms on the right side


r%3C%287%29%2F%282%29 Divide both sides by 2 to isolate r


--------------------------------------------------------------
Answer:
So our answer is r%3C%287%29%2F%282%29