Bounded Below Subset of Real Numbers/Examples/Finite Set of Reals
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Example of Bounded Below Subset of Real Numbers
Let $I$ be the set defined as:
- $I := \set {-1, 0, 2, 5}$
Then $I$ is bounded below by, for example, $-1$, $-2$ and $3$, of which the infimum is $-1$.
$5$ is also the smallest element of $I$.
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.10 \ (4) \ \text{(iii)}$