document.write( "Question 164981: Solve the following absolute value inequality: I am not quit sure how to do this problem with a fraction. Thank you\r
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Algebra.Com's Answer #121603 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Solve the following absolute value inequality: I am not quit sure how to do this problem with a fraction. Thank you
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document.write( "\"1%2F2\"\"abs%28x-2%29%3C4\"\r\n" );
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document.write( "Multiply both sides by \"2\"\r\n" );
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document.write( "\"2%2A%281%2F2%29\"\"abs%28x-2%29%3C2%2A4\"\r\n" );
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document.write( "\"cross%282%29%2A%281%2Fcross%282%29%29\"\"abs%28x-2%29%3C2%2A4\"\r\n" );
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document.write( "\"abs%28x-2%29%3C8\"\r\n" );
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document.write( "RULES for removing absolute value bars in inequalities.\r\n" );
document.write( "(Assume A is a non-negative number)\r\n" );
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document.write( "1. \"abs%28EXPRESSION%29%3CA\" becomes \"-A%3CEXPRESSION%3CA\"\r\n" );
document.write( "2. \"abs%28EXPRESSION%29%3C=A\" becomes \"-A%3C=EXPRESSION%3C=A\"\r\n" );
document.write( "3. \"abs%28EXPRESSION%29%3EA\" becomes \"matrix%281%2C3%2CEXPRESSION%3C-A%2C+OR%2C+EXPRESSION%3EA%29\"\r\n" );
document.write( "4. \"abs%28EXPRESSION%29%3E=A\" becomes \"matrix%281%2C3%2CEXPRESSION%3C=-A%2C+OR%2C+EXPRESSION%3E=A%29\"\r\n" );
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document.write( "Your problem is case 1\r\n" );
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document.write( "\"abs%28x-2%29%3C8\" becomes \"-8%3Cx-2%3C8\"\r\n" );
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document.write( "Solve for x in the middle\r\n" );
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document.write( "\"-8%3Cx-2%3C8\"\r\n" );
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document.write( "Add 2 to all three sides:\r\n" );
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document.write( "\"-8%2B2%3Cx-2%2B2%3C8%2B2\"\r\n" );
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document.write( "\"-6%3Cx%3C10\"\r\n" );
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document.write( "In interval notation:\r\n" );
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document.write( "(-6, 10)\r\n" );
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document.write( "Edwin
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