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

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) (Show Source): You can put this solution on YOUR website!
Start with the given inequality.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

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Answer:

So the solution is

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) (Show Source): You can put this solution on YOUR website!
solve this inequality: 7y-12<8y+15
and i have to graph it
-----------------------------
Subtract 7y from both sides to get:
-12 < y + 15
---
subtract 15 from both sides to get:
y > -27
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Cheers,
Stan H.
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