SOLUTION: Solve the following inequality (3x-4)/(x+5) <= 2 so far i've done: subtract the 2 from both sides (3x-4)/(x+5) - 2 Common denominator -2 * (x + 5) (3x-4

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Question 596431: Solve the following inequality
(3x-4)/(x+5) <= 2
so far i've done:
subtract the 2 from both sides
(3x-4)/(x+5) - 2
Common denominator
-2 * (x + 5)
(3x-4 - 2x + 10)/(x+5) <= 0
Now I simplify
(x+6)/(x+5) <= 0
Finally graph
[-6,-5] im not sure if that's correct I haven't touched this subject in a while.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
(3x-4)/(x+5) <= 2
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The denominator changes signs at x = -5
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Draw a number line. Plot the point x = -5
---Solve your problem where x < -5
Multiply both sides by (x+5), which is negative you get:
(3x-4) >= 2x+10
Then:
x >= 14
That cannot be a solution as x is < -5.
===
Solve your problem where x > -5
(3x-4)<= 2x+10
x <= 14
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Solution: -5< x <=14
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Cheers,
Stan H.
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SOLUTION: Solve the following inequality (3x-4)/(x+5) <= 2 so far i've done: subtract the 2 from both sides (3x-4)/(x+5) - 2 Common denominator -2 * (x + 5) (3x-4 - 2x + 10)/(x