document.write( "Question 1070069: y = |-2x+5|-|2x-5|
\n" ); document.write( "
\n" ); document.write( "if x<-2.5
\n" ); document.write( "if x>2.5
\n" ); document.write( "if -2.5≤x≤2.5 \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #685169 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
y= |−2x+5|-|2x−5|\r
\n" ); document.write( "\n" ); document.write( "if x<−2.5, then 2x-5 is negative and -2x+5 is positive
\n" ); document.write( "So, y = -2x+5 - -(2x-5) = -2x+5+2x-5 = 0
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "if x>2.5, then -2x+5 is negative and 2x-5 is positive
\n" ); document.write( "So y = -(-2x+5) - (2x-5) = 2x-5-2x+5 = 0
\n" ); document.write( "if −2.5≤x≤2.5 then y = 5-5 = 0
\n" ); document.write( "----
\n" ); document.write( "Simpler solution::
\n" ); document.write( "Rewrite your problem as::
\n" ); document.write( "y = |-(2x-5)|-|(2x-5)]
\n" ); document.write( "Since |a| = |-a|, y = 0
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------------
\n" ); document.write( "
\n" );