Hi all,

Given a set:

$\displaystyle x \in (-\infty, -2] \cup [-1, \infty)$

would you say that, the least upper bound and greatest lower bound do not exist.

and subsequently for:

$\displaystyle x \in (\frac{-\sqrt{29}}{2}+\frac{3}{2}, \frac{\sqrt{29}}{2}+\frac{3}{2})$, That the least upper bound is $\displaystyle (\frac{\sqrt{29}}{2}+\frac{3}{2})$ and the lower bound is $\displaystyle (\frac{-\sqrt{29}}{2}+\frac{3}{2})$