From the problem, we have :
![\begin{gathered} y<6 \\ y\ge-4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/x4fqesp9we7kpysub82jdiuh79l5zz1vi7.png)
For the first inequality, y < 6
Since the symbol is "<", the type of boundary line is dashed line
The boundary line is at y = 6 which has points (0, 6) and (2, 6)
and the region is going downwards.
The graph will be :
For the second inequality, y ≥ -4.
Since the symbol is "≥", the type of boundary line is solid line
The boundary line is at y = 4 which has points (0, -4) and (2, -4)
and the region is going upwards.
The graph will be :