SOLUTION: Solve the following inequalities: A) {{{x^3 < 8}}} B) {{{x^3 -x^2 -9x + 9 > 0}}} C) {{{(2x^2- 3x +1)/ (x+1) > 0}}}

Algebra ->  Inequalities -> SOLUTION: Solve the following inequalities: A) {{{x^3 < 8}}} B) {{{x^3 -x^2 -9x + 9 > 0}}} C) {{{(2x^2- 3x +1)/ (x+1) > 0}}}      Log On


   



Question 39545: Solve the following inequalities:
A) x%5E3+%3C+8
B) x%5E3+-x%5E2+-9x+%2B+9+%3E+0
C) %282x%5E2-+3x+%2B1%29%2F+%28x%2B1%29+%3E+0

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
A) x%5E3+%3C+8
-2+%3E+x and x+%3C+2
Check:
<=====(-2)=====(2)----->
Plug in numbers to determine real solutions.
B) x%5E3+-+x%5E2+-+9x+%2B+9+%3E+0
%28x-1%29%28x%2B3%29%28x-3%29%3E0
<-----(-3)=====(1)-----(3)=====>
C) %282x%5E2-+3x+%2B1%29%2F+%28x%2B1%29+%3E+0
%282x%5E2+-+3x+%2B+1%29+%3E+0
%282x-1%29%28x-1%29+%3E+0 Remember that x can not equal (-1).
<-----(-1)=====(1/2)-----(1)=====>