document.write( "Question 183522: Can somebody please help me out on this problem. Thanks so much! \r
\n" ); document.write( "\n" ); document.write( "|7-2x|>13\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That line is for absolute value.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #137756 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
|7-2x|>13 \r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The rules for removing absolute value bars:\r\n" );
document.write( "\r\n" );
document.write( "1. \"abs%28EXPRESSION%29+%3C+N\"\r\n" );
document.write( "\r\n" );
document.write( "becomes:\r\n" );
document.write( "\r\n" );
document.write( "\"-N+%3C+EXPRESSION+%3C+N\"\r\n" );
document.write( "\r\n" );
document.write( "Same for \"matrix%281%2C1%2C%22%22%3C=%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "2. \"abs%28EXPRESSION%29+%3E+N\"\r\n" );
document.write( "\r\n" );
document.write( "becomes:\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C3%2C+EXPRESSION%3C-N%2C++OR%2C++EXPRESSION%3EN%29\"\r\n" );
document.write( "\r\n" );
document.write( "Same for \"matrix%281%2C1%2C%22%22%3E=%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "Yours is case 2:\r\n" );
document.write( "\r\n" );
document.write( "\"abs%287-2x%29%3E13\"\r\n" );
document.write( "\r\n" );
document.write( "becomes:\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C3%2C+7-2x%3C-13%2C++OR%2C++7-2x%3E13%29\"\r\n" );
document.write( "\r\n" );
document.write( "then solve each for x\r\n" );
document.write( "\r\n" );
document.write( "Subtract 7 from both sides\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C3%2C+-2x%3C-13-7%2C++OR%2C++-2x%3E13-7%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C3%2C+-2x%3C-20%2C++OR%2C++-2x%3E6%29\"\r\n" );
document.write( "\r\n" );
document.write( "Divide through by -2, remembering that when we\r\n" );
document.write( "divide both sides of an inequality by a negative\r\n" );
document.write( "number, the inequality symbols reverse directions:\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C3%2C+x%3E10%2C++OR%2C++x%3C-3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Then we place this on a number line:\r\n" );
document.write( "\r\n" );
document.write( "<=============o--------------------------------------o============>\r\n" );
document.write( " -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 \r\n" );
document.write( "\r\n" );
document.write( "In interval notation this is \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );