document.write( "Question 119470: |2x| < x+5 \n" ); document.write( "
Algebra.Com's Answer #87524 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "|2x| < x+5\r\n" );
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document.write( "Case 1: x > 0 and |2x| < x+5\r\n" );
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document.write( "Then |2x| = 2x and\r\n" );
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document.write( "x > 0 and 2x < x + 5\r\n" );
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document.write( "x > 0 and x < 5\r\n" );
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document.write( " [0, 5)\r\n" );
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document.write( "Case 2: x < 0 and |2x| < x+5\r\n" );
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document.write( "Then |2x| = -2x and\r\n" );
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document.write( "x < 0 and -2x < x + 5\r\n" );
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document.write( "x < 0 and -3x < 5\r\n" );
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document.write( "x < 0 and x > -5/3\r\n" );
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document.write( "(-5/3, 0)\r\n" );
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document.write( "So solution is\r\n" );
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document.write( "Case 2 U Case 1\r\n" );
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document.write( "(-5/3, 0) U [0, 5)\r\n" );
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document.write( "or \r\n" );
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document.write( "(-5/3, 5) \r\n" );
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document.write( "Edwin
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