SOLUTION: solve 5y-2<7y-3 Use set builder notation to describe the complete solution {y/y_ _ }

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Question 146612: solve
5y-2<7y-3
Use set builder notation to describe the complete solution
{y/y_ _ }
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5y-2%3C7y-3 Start with the given inequality.


5y%3C7y-3%2B2 Add 2 to both sides.


5y-7y%3C-3%2B2 Subtract 7y from both sides.


-2y%3C-3%2B2 Combine like terms on the left side.


-2y%3C-1 Combine like terms on the right side.


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


y%3E1%2F2 Reduce.


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Answer:

So the answer is y%3E1%2F2


Which approximates to y%3E0.5



So the answer in set-builder notation is