document.write( "Question 312654: |x-1|>=1 \n" ); document.write( "

Algebra.Com's Answer #223627 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Two solutions:
\n" ); document.write( " $\"x-1%3E=1\"$ and $\"-%28x-1%29%3E=1\"$
\n" ); document.write( "Positive solution:
\n" ); document.write( " $\"x-1%3E=1\"$
\n" ); document.write( " $\"x%3E=2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Negative solution:
\n" ); document.write( " $\"-%28x-1%29%3E=1\"$
\n" ); document.write( " $\"x-1%3C=-1\"$
\n" ); document.write( " $\"x%3C=0\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "( $\"-infinity\"$ , $\"0\"$ ]U[ $\"2\"$ , $\"infinity\"$ )
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Graphically, the solution is when the absolute value function (red line) is above or equal to the green line ( $\"y=1\"$ )
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-2%2C+5%2C+-5%2C+5%2C+abs%28x-1%29%2C+1%29+\"$ \n" ); document.write( "

\n" );