To determine which system is represented by the graph, we need to analyze the inequalities.
The graph divides the coordinate plane into different regions. Let's analyze the slope of the lines in each option to match them with the graph:
1. y > x + 2
The slope of y = x + 2 is positive, and the region above this line should be shaded. However, the graph shows the shaded region below the line y = x + 2, so this option is not a match.
2. y < x + 2
The slope of y = x + 2 is positive, and the region below this line should be shaded. The graph shows the shaded region below the line, which matches this option.
3. y < x + 2
Similar to option 2, the slope of y = x + 2 is positive, and the region below this line should be shaded. The graph also shows the shaded region below the line, so this option is also a match.
Based on the analysis, both options 2 and 3 match the graph. Therefore, the system represented by the graph could be either:
2. y < x + 2 and y > -3x
or
3. y < x + 2 and y > -3x