document.write( "Question 76936: can you help me solve this problem\r
\n" ); document.write( "\n" ); document.write( "Solve and write the answer in set notation
\n" ); document.write( "/3x-6/>3\r
\n" ); document.write( "\n" ); document.write( "Here is my answer
\n" ); document.write( "3x-6>3 3x-6>-3
\n" ); document.write( "3x-6+6>3+6 3x-6+6>-3+6
\n" ); document.write( "3x>9 3x>3
\n" ); document.write( "3x/3>9/3=x>3 3x/3>3/3=x>1\r
\n" ); document.write( "\n" ); document.write( "{x/x>3} \n" ); document.write( "
Algebra.Com's Answer #55147 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Solve and write the answer in set notation\r\n" );
document.write( "|3x-6|>3 \r\n" );
document.write( "Here is my answer\r\n" );
document.write( "3x-6>3 3x-6>-3\r\n" );
document.write( "3x-6+6>3+6 3x-6+6>-3+6\r\n" );
document.write( "3x>9 3x>3\r\n" );
document.write( "3x/3>9/3=x>3 3x/3>3/3=x>1 \r\n" );
document.write( "{x/x>3}\r\n" );
document.write( "\r\n" );
document.write( "No that's wrong.  You can't solve absolute value\r\n" );
document.write( "inequalities the same way you solve absolute\r\n" );
document.write( "value equations.\r\n" );
document.write( "\r\n" );
document.write( "Learn these two rules, one for < and one for >:\r\n" );
document.write( "\r\n" );
document.write( "1.  To remove absolute values from\r\n" );
document.write( "\r\n" );
document.write( "|EXPRESSION| < A\r\n" );
document.write( "\r\n" );
document.write( "Change it to\r\n" );
document.write( "\r\n" );
document.write( "-A < EXPRESSION < +A\r\n" );
document.write( "\r\n" );
document.write( "and solve for x in the middle\r\n" );
document.write( "\r\n" );
document.write( "2.  To remove absolute values from\r\n" );
document.write( "\r\n" );
document.write( "|EXPRESSION| > A\r\n" );
document.write( "\r\n" );
document.write( "Change it to\r\n" );
document.write( "\r\n" );
document.write( "EXPRESSION < -A  OR EXPRESSION > +A\r\n" );
document.write( "\r\n" );
document.write( "and solve both parts for x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Yours is case 2:\r\n" );
document.write( "\r\n" );
document.write( "|3x - 6| > 3\r\n" );
document.write( "\r\n" );
document.write( "Change it to\r\n" );
document.write( "\r\n" );
document.write( "3x - 6 < -3 OR 3x - 6 > +3\r\n" );
document.write( "    3x < 3  OR     3x > 9\r\n" );
document.write( "     x < 1  OR      x > 3\r\n" );
document.write( "\r\n" );
document.write( "So you can write this in set-builder\r\n" );
document.write( "notation as\r\n" );
document.write( "\r\n" );
document.write( "{x | x < 1 OR x > 3}\r\n" );
document.write( "\r\n" );
document.write( "You can also write it in interval notation\r\n" );
document.write( "\r\n" );
document.write( "  (-¥, 1) È (3, ¥)\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );