The solution graph provided shows a shaded region below the line y = x + 2. This line has a slope of 1 and a y-intercept of 2.
To determine the correct system of linear inequalities represented by the graph, we need to consider the shading and the type of inequalities involved.
Looking at the shaded region below the line, we can see that it includes the points that satisfy the inequality y ≤ x + 2. This means that y is less than or equal to x + 2.
Therefore, the correct system of linear inequalities represented by the solution graph is:
y ≤ x + 2.
Option C: -5 < x < 5 and y ≤ x + 2 satisfies this condition.