document.write( "Question 1207369: Simplify |x-1| + |x-2| given that x is in the open interval (1,2).
\n" ); document.write( "Note:
\n" ); document.write( "The book tells me that since x > 1, then x - 1 is positive.
\n" ); document.write( "So, |x-1| = x - 1.
\n" ); document.write( "Where does it say that x > 1?
\n" ); document.write( "The book goes on to say that x < 2.
\n" ); document.write( "Since x < 2, then x - 2 is negative.
\n" ); document.write( "So, |x-2| = -(x-2) = -x + 2.
\n" ); document.write( "Where does it say that x < 2?
\n" ); document.write( "The author went in to do this:
\n" ); document.write( "x - 1 - x + 2 = 1.
\n" ); document.write( "The answer is 1.
\n" ); document.write( "However, my two questions are:
\n" ); document.write( "1. Where does it say that x > 1?
\n" ); document.write( "2. Where does it say that x < 2?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #845213 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "
\n" );