Homework Help: math

Posted by m on Monday, October 18, 2010 at 2:53pm.

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.

math - Reiny, Monday, October 18, 2010 at 3:28pm
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

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