document.write( "Question 345348: Solve Inequality
\n" ); document.write( "Express the answer in terms of intervals, if possible.\r
\n" ); document.write( "\n" ); document.write( "(5x + 1)(8 - 16x) > 0
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Algebra.Com's Answer #247036 by MathTherapy(10552)\"\" \"About 
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Solve Inequality
\n" ); document.write( "Express the answer in terms of intervals, if possible.\r
\n" ); document.write( "\n" ); document.write( "(5x + 1)(8 - 16x) > 0\r
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\n" ); document.write( "\n" ); document.write( "5x + 1 > 0 OR 8 - 16x > 0
\n" ); document.write( "5x > - 1 OR - 16x > - 8
\n" ); document.write( "\"x+%3E+-1%2F5\" OR \"x+%3C+%28-8%29%2F-16\" ------ \"x+%3C+1%2F2\" \r
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\n" ); document.write( "\n" ); document.write( "Therefore, \"highlight_green%28%28-1%2F5%29+%3C+x+%3C+%281%2F2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "--------
\n" ); document.write( "Check
\n" ); document.write( "--------\r
\n" ); document.write( "\n" ); document.write( "\"x+%3C+-1%2F5\"......Let x = - 1\r
\n" ); document.write( "\n" ); document.write( "(5x + 1)(8 - 16x) > 0_____(-5 + 1)(8 + 16) > 0_____(-4)(24) > 0 (FALSE)\r
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\n" ); document.write( "\n" ); document.write( "\"-1%2F5+%3C+x+%3C+1%2F2\"......Let x = 0\r
\n" ); document.write( "\n" ); document.write( "(5x + 1)(8 - 16x) > 0_____(0 + 1)(8 - 0) > 0_____(1)(8) > 0 (TRUE)\r
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\n" ); document.write( "\n" ); document.write( "\"x+%3E+1%2F2\"......Let x = 1\r
\n" ); document.write( "\n" ); document.write( "(5x + 1)(8 - 16x) > 0_____(5 + 1)(8 - 16) > 0_____(6)(-8) > 0 (FALSE)
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