SOLUTION: Solve: (5/7)<=(x-5/3)<2

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Question 200909: Solve:
(5/7)<=(x-5/3)<2



Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F7%3C=x-5%2F3%3C2 Start with the given compound inequality.


Multiply EVERY term by the LCD 21 to clear out any fractions.


3%285%29%3C=21x-7%285%29%3C21%2A2 Simplify


15%3C=21x-35%3C42 Multiply


15%2B35%3C=21x%3C42%2B35 Add 35 to all sides.


50%3C=21x%3C42%2B35 Combine like terms on the left side.


50%3C=21x%3C77 Combine like terms on the right side.


%2850%29%2F21%3C=x%3C%2877%29%2F21 Divide all sides by 21.


50%2F21%3C=x%3C11%2F3 Reduce.


So the solution is 50%2F21%3C=x%3C11%2F3