Bounded Below Subset of Real Numbers/Examples/Finite Set of Reals

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 $\S 2.10 \ (4) \ \text{(iii)}$