SOLUTION: Solve the inequality x(x+3)(x-8)<=0 Options are A.(-00,-3] U [0,8] B. (-00,-3]U[8,00] C. (-00,-3]U[8,00]

Question 737165: Solve the inequality
x(x+3)(x-8)<=0
Options are
A.(-00,-3] U [0,8]
B. (-00,-3]U[8,00]
C. (-00,-3]U[8,00]

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Just go through logically. Find the zeros. They define the intervals which you must check for truth or falseness of the statement. The zeros are easily inspected for because the lefthand member is in factored form. They are -3, 0, and +8.

The intervals to check would be (-00, -3], [-3, 0], [0, +8], and [+8, 00). From checking each of those intervals, finishing the solution set is more a matter of logic and simple notation about expressing the solution set. I leave this for you to continue.
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