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 }}}

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Question 625728: Solve the inequality algebraically.
I got [-3,0] ; [2,+infinity) But I'm not entirely sure if I'm correct.

Answer by lwsshak3(11628)   (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]

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