Thanks for you help, but I'm still now clear on the question.
@ Tedjn. Yes, what I was trying to say was what you wrote in the second paragraph. By decrease I meant to say move away from the maximum value the lhs can achieve.
@ I understand the part where there will be an equality if all the...
Homework Statement
|x + y + z| \le |x| + |y| + |z|. Indicate when the equality holds, and prove your statement.
Homework Equations
Answer in the books says it hold only when x, y, and z are all of the same sign.
The Attempt at a Solution
The value on the rhs of the eq will keep...