document.write( "Question 503811: Trying to solve: 2|x-8|+2<=12\r
\n" ); document.write( "\n" ); document.write( "I keep getting 1<=x<=13 but I know that is not right.\r
\n" ); document.write( "\n" ); document.write( "The answer is 3<=x<=13 but I just can't see how we get that.\r
\n" ); document.write( "\n" ); document.write( "Thx! \n" ); document.write( "
Algebra.Com's Answer #339418 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Consider:
\n" ); document.write( "2|x-8|+2<=12
\n" ); document.write( "as TWO different problems:
\n" ); document.write( ".
\n" ); document.write( "First problem:
\n" ); document.write( "2(x-8)+2<=12
\n" ); document.write( "Second problem:
\n" ); document.write( "2(-(x-8))+2<=12
\n" ); document.write( ".
\n" ); document.write( "Solving First:
\n" ); document.write( "2(x-8)+2<=12
\n" ); document.write( "2x-16+2<=12
\n" ); document.write( "2x-14<=12
\n" ); document.write( "2x<=26
\n" ); document.write( "x<=13
\n" ); document.write( ".
\n" ); document.write( "Solving Second:
\n" ); document.write( "2(-(x-8))+2<=12
\n" ); document.write( "2(-x+8)+2<=12
\n" ); document.write( "(-2x+16)+2<=12
\n" ); document.write( "-2x+18<=12
\n" ); document.write( "-2x<=-6
\n" ); document.write( "2x>=6 (notice we flipped the less than sign)
\n" ); document.write( "x>=3
\n" ); document.write( ".
\n" ); document.write( "answer:
\n" ); document.write( "3<=x<=13\r
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