document.write( "Question 199400: Solve $\"abs%285x-3%29%3E=12\"$ \n" ); document.write( "

Algebra.Com's Answer #149833 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Alan's solution is incorrect!
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\n" ); document.write( "\n" ); document.write( "Solve: $\"abs%285x-3%29%3E=12\"$
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document.write( "Rules for removing absolute value bars:\r\n" );
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document.write( "1. For cases of  where  is positive:\r\n" );
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document.write( "Rewrite as\r\n" );
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document.write( "2. For cases of \r\n" );
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document.write( "Rewrite as\r\n" );
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document.write( "3. For cases of  where  is positive:\r\n" );
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document.write( "Rewrite as\r\n" );
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document.write( " OR \r\n" );
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document.write( "4. For cases of \r\n" );
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document.write( "Rewrite as\r\n" );
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document.write( " OR \r\n" );
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document.write( "This is case 4, so to remove the absolute value\r\n" );
document.write( "bars:\r\n" );
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document.write( "Rewrte that as\r\n" );
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document.write( " OR \r\n" );
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document.write( "Solve each\r\n" );
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document.write( " OR \r\n" );
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document.write( " OR \r\n" );
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document.write( " OR \r\n" );
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document.write( "Mark the points  and  on the number line.\r\n" );
document.write( "Notice that to plot  you mark a point \r\n" );
document.write( "of the way between  and  \r\n" );
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document.write( "We mark them with solid circles because the problem has \r\n" );
document.write( "and/or .  If it had been just  and/or \r\n" );
document.write( "you would have left the circles open\r\n" );
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document.write( " ------------@-----------------------@----------\r\n" );
document.write( " -4   -3   -2   -1    0    1    2    3    4    5   \r\n" );
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document.write( "For the  part we shade left of \r\n" );
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document.write( "<============@-----------------------@----------\r\n" );
document.write( " -4   -3   -2   -1    0    1    2    3    4    5\r\n" );
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document.write( "And since the solution is that OR  we shade\r\n" );
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document.write( "<============@-----------------------@===========>\r\n" );
document.write( " -4   -3   -2   -1    0    1    2    3    4    5\r\n" );
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document.write( "Now for the interval notation, the left shaded part is\r\n" );
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document.write( "(,-]\r\n" );
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document.write( "and we union that with the right shaded part [3,oo)\r\n" );
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document.write( "and the final answer in interval notation is\r\n" );
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document.write( "        (,] U [3,)\r\n" );
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document.write( "Edwin

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