Mathematics · Metric Spaces
Which of the following represents the triangle inequality for a metric d on a set X?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1d(x, y) + d(y, z) = d(x, z)
- 2d(x, y) + d(y, z) ≥ d(x, z)✓
- 3d(x, y) + d(y, z) < d(x, z)
- 4d(x, y) + d(y, z) + d(x, z) > 0
Correct answer
d(x, y) + d(y, z) ≥ d(x, z)
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