document.write( "Question 467357: 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 #320747 by robertb(5830)\"\" \"About 
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The critical numbers are -6, 0, 8.\r
\n" ); document.write( "\n" ); document.write( "In the interval (\"-infinity\", -6): \"x%28x+%2B+6%29%288-x%29%3E0\". (Use the test number x = -7.)\r
\n" ); document.write( "\n" ); document.write( "In the interval (-6, 0): \"x%28x+%2B+6%29%288-x%29%3C0\". (Use the test number x = -5.)\r
\n" ); document.write( "\n" ); document.write( "In the interval (0, 8): \"x%28x+%2B+6%29%288-x%29%3E0\". (Use the test number x = 1.)\r
\n" ); document.write( "\n" ); document.write( "In the interval (8, \"infinity\"): \"x%28x+%2B+6%29%288-x%29%3C0\". (Use the test number x = 9.)\r
\n" ); document.write( "\n" ); document.write( "The critical numbers themselves -6,0, and 8 satisfy the inequality. Hence the solution set is \r
\n" ); document.write( "\n" ); document.write( "(\"-infinity\", -6]U [0, 8].
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