Answer:
The graph that shows the solution to the system of linear inequalities is:
Graph D.
Step-by-step explanation:
We are given first inequality as:
[tex]y>\dfrac{-1}{3}x+2[/tex]
The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)
Second inequality is given by:
[tex]y>2x-3[/tex]
The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test)
On plotting it's graph we get the solution.
Hence, the solution is represented by:
Graph D
