SOLUTION: How do you solve the inequality (3/4)m - 5/6 ≤ (5/6)m - 3/4? I tried to do this problem, but I got stuck while I was trying to get the variable on one side. I would appreciat

Algebra ->  Inequalities -> SOLUTION: How do you solve the inequality (3/4)m - 5/6 ≤ (5/6)m - 3/4? I tried to do this problem, but I got stuck while I was trying to get the variable on one side. I would appreciat      Log On


   

Question 690182: How do you solve the inequality (3/4)m - 5/6 ≤ (5/6)m - 3/4? I tried to do this problem, but I got stuck while I was trying to get the variable on one side. I would appreciate it if someone were to show the full work for this problem. Thank you to anyone who helps me with this problem!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F4%29m+-+%285%2F6%29+%3C=+%285%2F6%29m+-+3%2F4
...
Start by multiplying the entire equation by 24 (LCM of 4 and 6) to remove the fractions.
24%283%2F4%29m+-+24%285%2F6%29+%3C=+24%285%2F6%29m+-+24%283%2F4%29
...
18m+-+20+%3C=+20m+-+18
Now group like terms
-20+%2B+18+%3C=+20m+-+18m
...
-2+%3C=+2m
Divide both sides by 2
-1+%3C=+m or highlight_green%28m%3E=-1%29
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