Question: Assuming that the triangle inequality |a + b| |a| + |b| holds for any two numbers a and b, show that for any n

Assuming that the triangle inequality |a + b| ≤ |a| + |b| holds for any two numbers a and b, show that|x + x + + x| = |x| + |x| ++ xn


for any n numbers.

|x + x + + x| = |x| + |x| ++ xn

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