SOLUTION: 42-13y>15y-19

You can put this solution on YOUR website!
Start with the given inequality.


Subtract from 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 answer is


Which approximates to




So the answer in interval notation is


Also, the answer in set-builder notation is



Here's the graph of the solution set




Note: the endpoint is an open circle which excludes the value at that point from the solution set.


Questions? Email me at jim_thompson5910@hotmail.com (note: the space is really an underscore)

You can put this solution on YOUR website!
42-13y>15y-19
-13y-15y>-19-42
-28y>-61
y<-61/-28
y<2.17857
Proof:
let y=2
42-13*2>15*2-19
42-26>30-19
16>11