Answer:
We have to solve the given:
[tex]\frac{x}{4}-2<\frac{x}{5}[/tex]We will simplify it by bringing the unknowns on one side and the constants on the other.
[tex]\begin{gathered} \frac{x}{4}-2<\frac{x}{5}\rightarrow-2<\frac{x}{5}-\frac{x}{4}\rightarrow-2<\frac{4x-5x}{20} \\ \therefore \\ -2<\frac{-x}{20}\rightarrow-40<-x \\ \therefore \\ x<40 \end{gathered}[/tex]