SOLUTION: 2. Solve the inequality. Express your solution using interval notation and please show all of your work.
x(x + 6)(8 – x)≥ 0
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-> SOLUTION: 2. Solve the inequality. Express your solution using interval notation and please show all of your work.
x(x + 6)(8 – x)≥ 0
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Question 467364: 2. Solve the inequality. Express your solution using interval notation and please show all of your work.
x(x + 6)(8 – x)≥ 0
------------------------------------------------------------ Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Solve the inequality. Express your solution using interval notation and please show all of your work.
x(x + 6)(8 – x)≥ 0
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The best way I know how to show you how to find the solution is to first draw a number line with the zeros on it. (since function is already in factored form)
-∞............-6..........0............8...............∞
next, we need to determine the sign of the intervals between the zeros
Make a chart to determine signs of intervals:
x..........-.....-6......-......0......+........8.......+...........∞
(x+6)....-.....-6.....+......0.......+.......8........+..........∞
(x-8)....-.....-6.......-.....0.......-.......8........+..........∞
f(x)......-......-6......+.....0.......-.......8.........+.........∞
According to chart in interval notation:
solution: [6,0] U [8,∞) (positive intervals)
note: I have not tried this format before. Let me know how you like it.
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