SOLUTION: 42-13y>15y-19
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Question 157249
This 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)
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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.
----------------------------------------------------------------------
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)
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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