SOLUTION: Solve the inequality for u: 6u - 4_> 1/3u + 6 Simplify your answer as much as possible.

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Question 376365: Solve the inequality for u:
6u - 4_> 1/3u + 6
Simplify your answer as much as possible.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6u-4%3E=%281%2F3%29u%2B6 Start with the given inequality.


3%286u-4%29%3E=3%28%281%2Fcross%283%29%29u%2B6%29 Multiply both sides by the LCD 3 to clear any fractions.


18u-12%3E=u%2B18 Distribute and multiply.


18u%3E=u%2B18%2B12 Add 12 to both sides.


18u-u%3E=18%2B12 Subtract u from both sides.


17u%3E=18%2B12 Combine like terms on the left side.


17u%3E=30 Combine like terms on the right side.


u%3E=%2830%29%2F%2817%29 Divide both sides by 17 to isolate u.


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Answer:

So the solution is u%3E=30%2F17


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Jim