document.write( "Question 558142: 11. Solve the following inequality and write your answer using interval notation. Please show all of your work.
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Algebra.Com's Answer #362963 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"x%2F5\" < \"3%2F%286x-1%29\"\r\n" );
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document.write( "\"x%2F5\" - \"3%2F%286x-1%29\" < 0\r\n" );
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document.write( "The LCD = 5(6x-1)\r\n" );
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document.write( "\"x%2F5\"·\"%286x-1%29%2F%286x-1%29\" - \"3%2F%286x-1%29\"·\"5%2F5\" < 0\r\n" );
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document.write( "\"%286x%5E2-x%29%2F%285%286x-1%29%29\" - \"15%2F%285%286x-1%29%29\" < 0\r\n" );
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document.write( "\"%286x%5E2-x-15%29%2F%285%286x-1%29%29\" < 0\r\n" );
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document.write( "\"%28%283x-5%29%282x%2B3%29%29%2F%285%286x-1%29%29\" < 0\r\n" );
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document.write( "\"< 0\" means negative, so we want the left side to be negative.\r\n" );
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document.write( "Find the critical values by setting numerator = 0 and\r\n" );
document.write( "denominator = 0\r\n" );
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document.write( "There are 3 critical numbers, \"5%2F3\", \"-3%2F2\", and \"1%2F6\"\r\n" );
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document.write( "In mixed fractions, they are \"1%262%2F3\", \"-1%261%2F2\", and \"1%2F6\"\r\n" );
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document.write( "We make this chart\r\n" );
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document.write( "The left side is negative on the intervals \"x%3C-1%261%2F2\", and \"1%2F6%3Cx%3C1%262%2F3\"\r\n" );
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document.write( "\"%28matrix%281%2C3%2C-infinity%2C+%22%2C%22%2C+-1%261%2F2%29%29\" U \"%28matrix%281%2C3%2C1%2F6%2C%22%2C%22%2C1%262%2F3%29%29\"\r\n" );
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document.write( "Edwin
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