The system of inequalities to represent the shaded portion of the graph is y ≤ 1/2x - 1 and y > 2x - 4
How to determine the system of inequalities
From the question, we have the following parameters that can be used in our computation:
The graph
Where, we have the system of inequalities
The equations of the inequality expressions are
y = 1/2x - 1
y = 2x - 4
Considering the shaded line and the shaded region, we have
y ≤ 1/2x - 1
y > 2x - 4
Hence, the system of inequalities is y ≤ 1/2x - 1 and y > 2x - 4