Mathematics · Functional Analysis
Let N be a normed linear space and x, y ∈ N. Which of the following inequalities is always correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1|||x|| - ||y||| > ||x - y||
- 2|||x|| - ||y||| < ||x - y||
- 3|||x|| - ||y||| ≥ ||x - y||
- 4|||x|| - ||y||| ≤ ||x - y||✓
Correct answer
|||x|| - ||y||| ≤ ||x - y||
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