###### Example2.2.3Not a Solution

Consider the inequality \(x+4\gt 5\text{,}\) which has only one variable, \(x\text{.}\) If we substitute in \(0\) for \(x\) and then simplify:

\begin{align*} x+4\amp\gt 5\\ \substitute{0}+4\amp\stackrel{?}{\gt}5\\ 4\amp\stackrel{\text{no}}{\gt}5 \end{align*}we get a false equation. So we say that \(0\) is *not* a solution to \(x+4\gt 5\text{.}\)