SOLUTION: Solve this inequality. Please show all work (2x-9)/(5x+13)<0 This is what I've gotten so far 2x/5x+13 - 9/5x+13 <0 2x/5x+13 < 9/5x+13 2x<9 x<9/2 I know that there is ano

Question 540751: Solve this inequality. Please show all work
(2x-9)/(5x+13)<0
This is what I've gotten so far
2x/5x+13 - 9/5x+13 <0
2x/5x+13 < 9/5x+13
2x<9
x<9/2
I know that there is another part to the problem but not sure how to get there.
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I can solve it logically
Either the top or bottom must be negative,
but not both, so
If AND , then I
have (-)/(+), which is <0
--------------------
If AND
I have (+)/(-), which is <0
--------------------
Both these conditions are impossible,
so I don't think there is a solution.
I would get a 2nd opinion, though
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The other tutor did this:
---------
I can solve it logically
Either the top or bottom must be negative,
but not both, so
If AND , then I
have (-)/(+), which is <0
----------
2.6 < x < 4.5 works
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