SOLUTION: How do I answer this? Solve the inequality. x^4 - 32x^2 - 144 > 0

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Question 362439: How do I answer this?
Solve the inequality.
x^4 - 32x^2 - 144 > 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 part of the solution region.
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Region 3:




False, Region 3 is not part of the solution region.
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Region 4:




True, Region 4 is 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 above the x-axis ()
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