The system of inequalities that is represented by the graph is: y > x and y ≥ 1.
How to find the system of inequalities?
Inequalities with < or > use a dashed line, excluding the line, while those with ≤ or ≥ use a solid line, including the line.
In the graph, the dashed line has a slope of = 1/1 = 1, and a y-intercept of 0. The shaded part is above the line which means the inequality sign we would use for the line would be ">". Thus, the inequality for this line is:
y > x - 0
y > x
The second line is a horizontal line and it intersects the y-axis at 1. It's slope is zero. The inequality sign to use is for this solid line that has the shaded region above it would be ≥. Therefore, the inequality for this line would be:
y ≥ 1
The system of inequalities is:
y > x
y ≥ 1