SOLUTION: Solve the inequality: y> (3x^2+17x+24)/3x^2+2x Please help i don't know how to do this!

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the inequality: y> (3x^2+17x+24)/3x^2+2x Please help i don't know how to do this!      Log On


   



Question 773442: Solve the inequality: y> (3x^2+17x+24)/3x^2+2x
Please help i don't know how to do this!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality: y> (3x^2+17x+24)/3x^2+2x
-----------
Factor 3x^2+17x+24 = 3x^2+9x+8x+24 = 3x(x+3)+8(x+3)
= (x+3)/(3x+8)
------------------
y > [(x+3)(3x+8)]/[x(3x+2)]
------------------
Graph the equality:::
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%283x%5E2%2B17x%2B24%29%2F%283x%5E2%2B2x%29%29
--------------------
Graph the inequality::

===============
Cheers,
Stan H.
===============