SOLUTION: 42-13y>15y-19

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Question 157249This question is from textbook algebra 1
: 42-13y>15y-19 This question is from textbook algebra 1

Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
42-13y%3E15y-19 Start with the given inequality.


-13y%3E15y-19-42 Subtract 42 from both sides.


-13y-15y%3E-19-42 Subtract 15y from both sides.


-28y%3E-19-42 Combine like terms on the left side.


-28y%3E-61 Combine like terms on the right side.


y%3C%28-61%29%2F%28-28%29 Divide both sides by -28 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3C61%2F28 Reduce.


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Answer:

So the answer is y%3C61%2F28


Which approximates to y%3C2.179




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)

Answer by checkley77(12844) About Me  (Show Source):
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