SOLUTION: 7(2y+3)-8y > 2(3y-5)-9

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Question 348834: 7(2y+3)-8y > 2(3y-5)-9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7%282y%2B3%29-8y%3E2%283y-5%29-9 Start with the given inequality.


14y%2B21-8y%3E6y-10-9 Distribute.


6y%2B21%3E6y-10-9 Combine like terms on the left side.


6y%2B21%3E6y-19 Combine like terms on the right side.


6y%3E6y-19-21 Subtract 21 from both sides.


6y-6y%3E-19-21 Subtract 6y from both sides.


0y%3E-19-21 Combine like terms on the left side.


0y%3E-40 Combine like terms on the right side.


0%3E-40 Simplify.


Since the inequality is ALWAYS true, this means that there are an infinite number of solutions.