I'll do both.
[tex]
5x-97>-34\Rightarrow x>\frac{-34+97}{5}=\frac{63}{5}=\boxed{12.6} \\
\boxed{x\in(12.6, \infty)} \\ \\
2x+31<29\Longrightarrow x<29-31=\boxed{-2} \\
\boxed{x\in(-\infty, -2)}
[/tex]
