SOLUTION: 1/6(2x-7)<1/2(x+1)

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Question 167481This question is from textbook
: 1/6(2x-7)<1/2(x+1) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F6%29%282x-7%29%3C%281%2F2%29%28x%2B1%29 Start with the given inequality


1%282x-7%29%3C3%28x%2B1%29 Multiply both sides by the LCD 6 to clear the fractions.


2x-7%3C3x%2B3 Distribute.


2x%3C3x%2B3%2B7 Add 7 to both sides.


2x-3x%3C3%2B7 Subtract 3x from both sides.


-x%3C3%2B7 Combine like terms on the left side.


-x%3C10 Combine like terms on the right side.


x%3E%2810%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-10 Reduce.


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Answer:

So the answer is x%3E-10