SOLUTION: show the conjecture is false by finding a counterexample of |a+b|=|a|+|b|

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Question 894593: show the conjecture is false by finding a counterexample of |a+b|=|a|+|b|
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Try 1 and -9.
|1+(-9)|=|1|+|-9|
|-8|=1+9
8=10, a false statement.

A counter example here is a=1 and b=-9.