SOLUTION: I need help with expressing the answer to the following inequality in interval notation. (y – 3)/3 > 1/3 – (y – 5)/6 Thanks

Algebra ->  Algebra  -> Inequalities -> SOLUTION: I need help with expressing the answer to the following inequality in interval notation. (y – 3)/3 > 1/3 – (y – 5)/6 Thanks      Log On

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Question 202102: I need help with expressing the answer to the following inequality in interval notation.
(y – 3)/3 > 1/3 – (y – 5)/6
Thanks
Answer by jim_thompson5910(21682) About Me  (Show Source):
You can put this solution on YOUR website!
%28y+-+3%29%2F3+%3E+1%2F3+-+%28y+-+5%29%2F6 Start with the given inequality


cross%286%29%5E2%28%28y+-+3%29%2Fcross%283%29%29+%3E+cross%286%29%5E2%281%2Fcross%283%29%29+-+cross%286%29%28%28y+-+5%29%2Fcross%286%29%29 Multiply EVERY term outside the parenthesis by the LCD 6 to clear out the fractions.


2%28y-3%29%3E2%281%29-%28y-5%29 Simplify


2%28y-3%29%3E2-%28y-5%29 Multiply


2y-6%3E2-y%2B5 Distribute.


2y-6%3E-y%2B7 Combine like terms on the right side.


2y%3E-y%2B7%2B6 Add 6 to both sides.


2y%2By%3E7%2B6 Add y to both sides.


3y%3E7%2B6 Combine like terms on the left side.


3y%3E13 Combine like terms on the right side.


y%3E%2813%29%2F%283%29 Divide both sides by 3 to isolate y.


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Answer:

So the solution is y%3E13%2F3


So the answer in interval notation is ()