SOLUTION: Solve the inequality algebraically. I got [-3,0] ; [2,+infinity) But I'm not entirely sure if I'm correct. {{{ x^3+x^2-6x<= 0 }}}

Algebra ->  Rational-functions -> SOLUTION: Solve the inequality algebraically. I got [-3,0] ; [2,+infinity) But I'm not entirely sure if I'm correct. {{{ x^3+x^2-6x<= 0 }}}       Log On


   



Question 625728: Solve the inequality algebraically.
I got [-3,0] ; [2,+infinity) But I'm not entirely sure if I'm correct.
+x%5E3%2Bx%5E2-6x%3C=+0+

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality algebraically
x^3+x^2-6x<= 0
x(x^2+x-6)≤0
x(x+3)(x-2)≤0
number line
<...-...-3...+....0...-....2...+....>
solution:
(-∞,-3] U [0,2]