document.write( "Question 1207726: Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set.\r
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\n" ); document.write( "\n" ); document.write( "1. |[(2x - 3)/2] + (1/3)| > 1\r
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Algebra.Com's Answer #845750 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Learn how to get rid of absolute value bars || in inequalities:\r\n" );
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document.write( "\"abs%28EXPRESSION%29+%3C+NUMBER\" means \"-NUMBER%3CEXPRESSION%3C%22%2BNUMBER%22\"\r\n" );
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document.write( "Also learn that \r\n" );
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document.write( "\"abs%28EXPRESSION%29+%3E+NUMBER\" means \"EXPRESSION+%3C%22-NUMBER%22\"\"matrix%281%2C2%2C%22OR%22%2C%22%22%29\"\"EXPRESSION+%3E+%22%2BNUMBER%22\",\r\n" );
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document.write( "where the word \"OR\" is included as part of the solution.  \r\n" );
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document.write( "These apply the same whether the inequality symbol is \"underlined\" (\"or equal to\")\r\n" );
document.write( "is implied or not.\r\n" );
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document.write( "1.  \"abs%28%28%282x+-+3%29%2F2%29+%2B+%281%2F3%29%29+%3E+1\"\r\n" );
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document.write( "That means:\r\n" );
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document.write( "\"%282x+-+3%29%2F2+%2B+expr%281%2F3%29+%3C+-1\"\"OR\"\"%282x+-+3%29%2F2+%2B+expr%281%2F3%29+%3E+%22%2B1%22\"\r\n" );
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document.write( "Multiply both inequalities through by 6\r\n" );
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document.write( "\"6%2A%28%282x+-+3%29%2F2+%2B+1%2F3%29+%3E+-6%2A1\"\"OR\"\"6%2A%28%282x+-+3%29%2F2+%2B+1%2F3%29+%3E+%22%2B6%22%2A1\"\r\n" );
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document.write( "\"3%282x+-+3%29+%2B+2+%3C+-6\"\"OR\"\"3%282x+-+3%29+%2B+2+%3E+6\"\r\n" );
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document.write( "\"6x+-+9+%2B+2+%3C+-6\"\"OR\"\"6x+-+9+%2B+2+%3E+6\"\r\n" );
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document.write( "\"6x+-+7+%3C+-6\"\"OR\"\"6x+-+7+%3E+6\"\r\n" );
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document.write( "\"6x+%3C+1\"\"OR\"\"6x+%3E+13\"\r\n" );
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document.write( "\"x+%3C+1%2F6\"\"OR\"\"x+%3E+13%2F6\"   <-- ANSWER.\r\n" );
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document.write( "2. \"abs%28+%282x+%2B+3%29%2F2+-+%281%2F2%29+%29+%3C+1\"\r\n" );
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document.write( "That means:\r\n" );
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document.write( " \"-1+%3C+%282x+%2B+3%29%2F2+-+%281%2F2%29+%3C+%22%2B1%22\"\r\n" );
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document.write( "Multiply through by 2\r\n" );
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document.write( "\"-2%3C+2%2A%28%282x+%2B+3%29%2F2+-+1%2F2%29+%3C+2\"\r\n" );
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document.write( "\"-2+%3C+%282x+%2B+3%29+-+1+%3C+2\"\r\n" );
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document.write( "\"-2%3C+2x+%2B+3+-+1+%3C+2\"\r\n" );
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document.write( "\"-2%3C+2x+%2B+2+%3C+2\"\r\n" );
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document.write( "Divide through by 2\r\n" );
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document.write( "\"-1%3Cx%2B1%3C1\"\r\n" );
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document.write( "Add -1 to all three sides:\r\n" );
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document.write( "\"-2%3Cx%3C0\"    <-- ANSWER.\r\n" );
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document.write( "Edwin
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