Bounded Below Subset of Real Numbers/Examples/Open Interval from 1 to Infinity
Jump to navigation
Jump to search
Example of Bounded Below Subset of Real Numbers
The subset $S$ of the real numbers $\R$ defined as:
- $S = \openint 1 \to$
is bounded below.
Examples of lower bounds of $S$ are:
- $-7, 1, \dfrac 1 2$
The set of all lower bounds of $S$ is:
- $\hointl {-\infty} 1$
Sources
- 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 10$: The well-ordering principle