document.write( "Question 991855: |x-1|=-5x+10 \n" ); document.write( "
Algebra.Com's Answer #611590 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "|x-1|=-5x+10\r\n" );
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document.write( "Case 1: x-1 is not negative, x-1 ≥ 0\r\n" );
document.write( "                               x ≥ 0\r\n" );
document.write( "x-1 = -5x+10\r\n" );
document.write( " 6x = 11\r\n" );
document.write( "  x = 11/6\r\n" );
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document.write( "That is a solution since 11/6 ≥ 0\r\n" );
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document.write( "Case 2: x-1 is negative, x-1 < 0\r\n" );
document.write( "                           x < 1\r\n" );
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document.write( "-(x-1) = -5x+10\r\n" );
document.write( "  -x+1 = -5x+10\r\n" );
document.write( "    4x = 9\r\n" );
document.write( "     x = 9/4\r\n" );
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document.write( "But 9/4 < 1 is false, so we discard this solution.  \r\n" );
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document.write( "Only one solution,\r\n" );
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document.write( "x = 11/6\r\n" );
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document.write( "Edwin

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