SOLUTION: Find the solution set in interval notation: x+12/x+2 <= 3 Thank you so much!!! :D

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find the solution set in interval notation: x+12/x+2 <= 3 Thank you so much!!! :D      Log On


   



Question 119440: Find the solution set in interval notation: x+12/x+2 <= 3
Thank you so much!!! :D

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x+12)/(x+2)-3 <= 0
----------------
Find the values x cannot take:
x=-2
------------------
Draw a number line; x=-2
Find a test point in each interval to find the solution set:
If x=-3, (-3+12)/(-3+2)-3<-0, true
If x=-1, (-1+12)/(-1+2)-3<=0, false
--------------
Solution: (-inf,-2)
======================
Cheers,
Stan H.


---------------