SOLUTION: Express the solution to the following inequality using interval notation. x2 + 10x + 24 ≥ 0

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Question 356425: Express the solution to the following inequality using interval notation.
x2 + 10x + 24 ≥ 0

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


Break up the number line into 3 regions using the critical points of the function.
Region 1:(,)
Region 2:(,)
Region 3:(,)
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For each region, choose a point in the region (not an endpoint).
Test the inequality.
If the ineqaulity 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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Solution Region: (,) U (,)
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Graphical verification: Look for regions where the function is above the x-axis ().
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