Measure, Integration & Real Analysis · Problem 2A.6

Measures — Sheldon Axler

Mathematics — Measure Theory · outer-measure-intervals

Problem

Prove that if a,b∈Ra, b \in \mathbf{R} and a<ba < b, then ∣(a,b)∣=∣[a,b)∣=∣(a,b]∣=b−a.|(a, b)| = |[a, b)| = |(a, b]| = b - a.

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