document.write( "Question 352218: Does |n + m| = |n| + |m| for all integers n and m? If so, give some examples. If not, give a counterexample.\r
\n" ); document.write( "\n" ); document.write( "I would say no, because\r
\n" ); document.write( "\n" ); document.write( "|6 + (-5)| = |6| + |-5|\r
\n" ); document.write( "\n" ); document.write( "|1| = |6| + |-5|\r
\n" ); document.write( "\n" ); document.write( "1 = 6 + 5\r
\n" ); document.write( "\n" ); document.write( "1 = 11\r
\n" ); document.write( "\n" ); document.write( "Not sure what to write for a counter example\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #251693 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
What you wrote is a counterexample.
\n" ); document.write( "You showed one case where \"abs%28n%2Bm%29=abs%28n%29%2Babs%28m%29\" does not hold.
\n" ); document.write( "You only need to show it for one example, which you did.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );