SOLUTION: Solve 4y-2 < 9y-3 Use set builder to describe the complete solution

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Question 146407: Solve 4y-2 < 9y-3 Use set builder to describe the complete solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4y-2%3C9y-3 Start with the given inequality.


4y%3C9y-3%2B2 Add 2 to both sides.


4y-9y%3C-3%2B2 Subtract 9y from both sides.


-5y%3C-3%2B2 Combine like terms on the left side.


-5y%3C-1 Combine like terms on the right side.


y%3E%28-1%29%2F%28-5%29 Divide both sides by -5 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3E1%2F5 Reduce.


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Answer:

So the answer is y%3E1%2F5


Which approximates to y%3E0.2


So the answer in set-builder notation is