math
posted by m on .
Does absolute value n+m= absolute value n + absolute value m for all integers n and m? If so give examples if not give a counterexample.

Only true for m ≥ 0, so in general the statement is false.
A counterexample for it being true ...
let n = 10, m = 5
Left side
=  10  5 = 5
right side
= 10 + 5 
= 10+5
= 15
LS ≠ Rs