Given :
An inequality, 2.5x < 32.
To Find :
Number line represents the solution of the given inequality.
Solution :
Simplifying the given inequality by dividing both sides by 2.5 .
We get :
[tex]\dfrac{2.5x}{2.5} < \dfrac{32}{2.5}\\\\x < 12.8[/tex]
The attached figure shows the solution of the given inequality.
Hence, this is the required solution.