SOLUTION: I dont understand how to divide inequalities. especially the following problem that has a lot of fractions 7/5(10m-1)<2/3(6m+5)

Algebra ->  Inequalities -> SOLUTION: I dont understand how to divide inequalities. especially the following problem that has a lot of fractions 7/5(10m-1)<2/3(6m+5)      Log On


   

Question 112969: I dont understand how to divide inequalities. especially the following problem that has a lot of fractions
7/5(10m-1)<2/3(6m+5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2F5%29%2810m-1%29%3C%282%2F3%29%286m%2B5%29 Start with the given inequality



%2815%29%28%287%2F5%29%2810m-1%29%29%3C%2815%29%28%282%2F3%29%286m%2B5%29%29 Multiply both sides by the LCM of 15. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



21%2810m-1%29%3C10%286m%2B5%29 Distribute and multiply the LCM to each side



210m-21%3C60m%2B50 Distribute


210m%3C60m%2B50%2B21Add 21 to both sides


210m-60m%3C50%2B21 Subtract 60m from both sides


150m%3C50%2B21 Combine like terms on the left side


150m%3C71 Combine like terms on the right side


m%3C%2871%29%2F%28150%29 Divide both sides by 150 to isolate m



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Answer:
So our answer is m%3C71%2F150 (which is approximately m%3C0.473333333333333 in decimal form)