Answer:
The region that contains the solution to the system is:
Region D
Step-by-step explanation:
- We are given first inequality as:
[tex]y\leq \dfrac{-1}{3}x+3[/tex]
The graph of this will be a solid line passing through (9,0) and (0,3) with shading towards the origin.
Hence, it covers Region C and Region D.
- Similarly the second inequality is given by:
[tex]y\geq 3x+2[/tex]
The graph of this will be a solid line passing through (-2/3,0) and (0,2) with away from the origin.
Hence, it covers Region A and Region D.
Hence, the intersection region that is covered by both the inequalities is:
Region D
