Example LF.DLInEQ.0 Dynamic Views for solving an inequality $f(x)=mx+b\le c$ on Mapping Diagrams. 
 

On the GeoGebra sketch you can change  the values of $m=A$ and $b=B$ (with the sliders) and $C$ (currently $2$ on the target axis) to see linear inequalities $Ax + B \le C$ solved visually with the mapping diagram.