SOLUTION: solve 7/4(3x-1/2)-4/3<5/3

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Question 251536: solve 7/4(3x-1/2)-4/3<5/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287%2F4%29%283x-1%2F2%29-4%2F3%3C5%2F3 Start with the given inequality.


%2821%2F4%29x-7%2F8-4%2F3%3C5%2F3 Distribute.


Multiply both sides by the LCD 24 to clear any fractions.


126x-21-32%3C40 Distribute and multiply.


126x-53%3C40 Combine like terms on the left side.


126x%3C40%2B53 Add 53 to both sides.


126x%3C93 Combine like terms on the right side.


x%3C%2893%29%2F%28126%29 Divide both sides by 126 to isolate x.


x%3C31%2F42 Reduce.


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Answer:

So the solution is x%3C31%2F42