The graph for the system of inequalities, y > x + 3 and y ≤ 5x - 1, is option A as shown in the graph below.
How to graph a system of inequalities?
The solution to the system of inequalities y > x + 3 and y ≤ 5x - 1 forms the region between two parallel lines. The line y > x + 3 is dashed since the inequality is strict, indicating points above the line. The line y ≤ 5x - 1 is solid as it includes points on the line. The shaded region is above the line
y > x + 3 that has a slope of 1, while that of y ≤ 5x - 1 is below it and has a slope of 5.
The correct graph that have these characteristics that depicts the system of inequalities is shown in the graph below (option A).