SOLUTION: Solve the inequality [(x - 4)^3] / [x(x + 3)] is less than or equal to 0

Question 378101: Solve the inequality [(x - 4)^3] / [x(x + 3)] is less than or equal to 0
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Break up the number line into 4 regions using the critical points of the function.
Region 1:(,)
Region 2:(,)
Region 3:(,)
Region 4:(,)
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For each region, choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution region.
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Region 1:

True, Region 1 is part of the solution region.
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Region 2:

False, Region 2 is not part of the solution region.
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Region 3:

True, Region 3 is part of the solution region.
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Region 4:

False, Region 4 is not part of the solution region.
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Solution Region: (,)U(,)
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Graphical verification: Look for regions where the function is below the x-axis ()
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