# Category:Examples of Bounded Below Sets

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This category contains examples of Bounded Below Set.

Let $\struct {S, \preceq}$ be an ordered set.

A subset $T \subseteq S$ is **bounded below (in $S$)** if and only if $T$ admits a lower bound (in $S$).

## Pages in category "Examples of Bounded Below Sets"

The following 11 pages are in this category, out of 11 total.

### B

- Bounded Below Subset of Real Numbers/Examples
- Bounded Below Subset of Real Numbers/Examples/Closed Interval from 0 to 1
- Bounded Below Subset of Real Numbers/Examples/Closed Interval from Minus Infinity to 2
- Bounded Below Subset of Real Numbers/Examples/Finite Set of Reals
- Bounded Below Subset of Real Numbers/Examples/Left Half Open Interval from 0 to 1
- Bounded Below Subset of Real Numbers/Examples/Open Interval from 0 to 1
- Bounded Below Subset of Real Numbers/Examples/Open Interval from 0 to Infinity
- Bounded Below Subset of Real Numbers/Examples/Open Interval from 1 to Infinity
- Bounded Below Subset of Real Numbers/Examples/Open Interval from 3 to Infinity
- Bounded Below Subset of Real Numbers/Examples/Real Numbers
- Bounded Below Subset of Real Numbers/Examples/Strictly Negative Real Numbers