Answer:
The graph that represent the system of inequalities is:
Graph C
Explanation:
We are given system of inequalities as:
y-x ≥ 2 -------------(1)
and y ≤ -3x+2 ----------(2)
- The graph of inequality (1) will be a straight solid line passing through (-2,0) and (0,2) and the shading is away from the origin.
- and the graph of inequality (2) will be a straight solid line passing through (2/3,0) and (0,2) and shading will be towards the origin.
Hence, Graph C is the graph of the system of inequalities.