SOLUTION: Solve the inequality 54.2/5k - 4/15 > -2/3 Any help with this equation would be <b>Greatly</b> appreciated.

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Solve the inequality 54.2/5k - 4/15 > -2/3 Any help with this equation would be <b>Greatly</b> appreciated.      Log On

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Question 113558: Solve the inequality
54.2/5k - 4/15 > -2/3
Any help with this equation would be Greatly appreciated.
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2F5%29k-4%2F15%3E-2%2F3 Start with the given inequality



%2815%29%28%282%2F5%29k-4%2F15%29%3E%2815%29%28-2%2F3%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)



6k-4%3E-10 Distribute and multiply the LCM to each side



6k%3E-10%2B4Add 4 to both sides


6k%3E-6 Combine like terms on the right side


k%3E%28-6%29%2F%286%29 Divide both sides by 6 to isolate k



k%3E-1 Divide

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Answer:
So our answer is k%3E-1