document.write( "Question 857314: I'm actually helping a friend in Trig and I forgot absolute value. The question is below.\r
\n" ); document.write( "\n" ); document.write( "Solve for x: 2|-x+4| > 10\r
\n" ); document.write( "\n" ); document.write( "1. {x | 1 < x < 9}
\n" ); document.write( "2. {x | x < 1 or x > 9}
\n" ); document.write( "3. {x | x < -9 or x > -1}
\n" ); document.write( "4. {x | x < -1 or x > 9} \n" ); document.write( "
Algebra.Com's Answer #516486 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "2|-x+4| > 10 \r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 2\r\n" );
document.write( "\r\n" );
document.write( "|-x+4| > 5\r\n" );
document.write( "\r\n" );
document.write( "|Y| > 5 has solution interval \r\n" );
document.write( "\r\n" );
document.write( "{Y < -5 or Y > 5}\r\n" );
document.write( "\r\n" );
document.write( "Therefore if we let Y = |-x+4| \r\n" );
document.write( "\r\n" );
document.write( "|-x+4| > 5 has solution interval \r\n" );
document.write( "\r\n" );
document.write( "{-x+4 < -5 or -x+4 > 5} \r\n" );
document.write( "\r\n" );
document.write( "Add -4 to both sides of both inequalities:\r\n" );
document.write( "\r\n" );
document.write( "{-x < -9 or -x > 1}\r\n" );
document.write( "\r\n" );
document.write( "Divide both inequalities by -1, remembering that\r\n" );
document.write( "when an inequality is divided through by a negative,\r\n" );
document.write( "the inequality symbol is reversed:\r\n" );
document.write( "\r\n" );
document.write( "{x > 9 or x < -1}\r\n" );
document.write( "\r\n" );
document.write( "That is the same as the solution interval for this\r\n" );
document.write( "solution set: \r\n" );
document.write( "\r\n" );
document.write( "4. {x | x < -1 or x > 9}  \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );