- #1
chocolatelover
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Homework Statement
Prove that |x+y|</|x|+|y|
Homework Equations
The Attempt at a Solution
Assume that x and y are real numbers.
|5+2|</|5|+|7|
7</7
|-5-2|</|-5|+|-2|
7</7
I know that it is true by testing different numbers, but I'm not sure how to prove it. Could someone please show me how or give me a hint?
Thank you very much