document.write( "Question 1070069:  y = |-2x+5|-|2x-5|
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document.write( "if x<-2.5
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document.write( "if x>2.5
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document.write( "if -2.5≤x≤2.5 \r
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| Algebra.Com's Answer #685169 by stanbon(75887)      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( " |