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) (Show Source):
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)

Answer by checkley77(12844) (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