SOLUTION: 2(5y-6) > (3y+6) - Solution is {y|y __ __ }

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Question 156129: 2(5y-6) > (3y+6)
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Solution is {y|y __ __ }

Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2(5y-6) > (3y+6)
10y-12>3y+6
10y-3y-12+12>3y-3y+6+12
7y>18
7y/7>18/7
y>18/7
.
Ed

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%285y-6%29%3E=3y%2B6 Start with the given inequality.


10y-12%3E=3y%2B6 Distribute.


10y%3E=3y%2B6%2B12 Add 12 to both sides.


10y-3y%3E=6%2B12 Subtract 3y from both sides.


7y%3E=6%2B12 Combine like terms on the left side.


7y%3E=18 Combine like terms on the right side.


y%3E=%2818%29%2F%287%29 Divide both sides by 7 to isolate y.


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Answer:

So the answer is y%3E=18%2F7


Which approximates to y%3E=2.571



So the solution set is


Also, the answer in interval notation is [)


Finally, here's the graph of the solution set



Note: the endpoint is an closed circle