Where Do Real Numbers Lie on the Extended Real Line?

\(-\infty < x < +\infty\), i.e., \(x \in (-\infty, +\infty)\)

Explanation

Every real number \(x\) satisfies \(-\infty < x < +\infty\), i.e., \(x \in (-\infty, +\infty)\). The symbols \(-\infty\) and \(+\infty\) serve as the extreme bounds of the real line, but they are not themselves real numbers — they are boundary points added in the extended real number system to give the real line two endpoints. Every actual real number lies strictly between them.