document.write( "Question 467364: 2. Solve the inequality. Express your solution using interval notation and please show all of your work.
\n" ); document.write( "x(x + 6)(8 – x)≥ 0
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Algebra.Com's Answer #322295 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solve the inequality. Express your solution using interval notation and please show all of your work.
\n" ); document.write( "x(x + 6)(8 – x)≥ 0
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\n" ); document.write( "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)\r
\n" ); document.write( "\n" ); document.write( "-∞............-6..........0............8...............∞
\n" ); document.write( "next, we need to determine the sign of the intervals between the zeros\r
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\n" ); document.write( "\n" ); document.write( "Make a chart to determine signs of intervals:
\n" ); document.write( "x..........-.....-6......-......0......+........8.......+...........∞
\n" ); document.write( "(x+6)....-.....-6.....+......0.......+.......8........+..........∞
\n" ); document.write( "(x-8)....-.....-6.......-.....0.......-.......8........+..........∞
\n" ); document.write( "f(x)......-......-6......+.....0.......-.......8.........+.........∞\r
\n" ); document.write( "\n" ); document.write( "According to chart in interval notation:
\n" ); document.write( "solution: [6,0] U [8,∞) (positive intervals)\r
\n" ); document.write( "\n" ); document.write( "note: I have not tried this format before. Let me know how you like it. \n" ); document.write( "
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