Bounded Below Subset of Real Numbers/Examples/Open Interval from 1 to Infinity

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:
 * $\hointl {-\infty} 1$