<h2>
Answer:</h2>
Option: D is the correct answer.
D. y<2 and y≥x
<h2>
Step-by-step explanation:</h2>
The graph of the system of linear inequalities are two lines:
1)
The first is a solid line which passes through (0,0) , (1,1)
i.e. the equation of the line is: y=x
and the inequality will be a inequality with a equality sign ( since the line is solid ) and the shaded region is above the line .
Hence, the inequality is: y≥x
2)
The second line is a dotted line.
This means that the inequality is strict.
Also, the line is a horizontal line parallel to the x-axis and the line pass through (0,2) and the shaded region is below the line.
Hence, the inequality is given by:
y<2