SOLUTION: Help solve this inequality: 7y-12<8y+15 and i have to graph it

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Question 220537: Help solve this inequality: 7y-12<8y+15
and i have to graph it
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7y-12%3C8y%2B15 Start with the given inequality.


7y%3C8y%2B15%2B12 Add 12 to both sides.


7y-8y%3C15%2B12 Subtract 8y from both sides.


-y%3C15%2B12 Combine like terms on the left side.


-y%3C27 Combine like terms on the right side.


y%3E%2827%29%2F%28-1%29 Divide both sides by -1 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3E-27 Reduce.


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Answer:

So the solution is y%3E-27


So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set on a number line:



Note: there is an open circle at the endpoint.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve this inequality: 7y-12<8y+15
and i have to graph it
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Subtract 7y from both sides to get:
-12 < y + 15
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subtract 15 from both sides to get:
y > -27
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graph%28400%2C300%2C-30%2C30%2C-55%2C50%2Cy+%3E-27%29
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Cheers,
Stan H.