SOLUTION: Graph the solution to the following inequality on the number line. X^2-10x≤-24

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Question 415941: Graph the solution to the following inequality on the number line.
X^2-10x≤-24

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the solution to the following inequality on the number line.
X^2-10x≤-24
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x^2-10x+24 <= 0
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Factor:
(x-6)(x-4) <= 0
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Draw a number line and plot x = 4 and x=6.
Check a value in each of the intervals to find the
solution set:
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(x-6)(x-4) <= 0
Check x = 0; -*- <=0 ; false
Check x = 5; -*+ <=0; true so solutions in [4,6]
Check x = 10; +*+ <=0; false
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Graph:
Put a solid circle at x=4 and x=6
Draw a line segment connecting the two points.
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Cheers,
Stan H.
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