The solution to the given system of inequalities can be found by plotting both inequalities on the same graph. The overlapping shaded region will be the solution to the given set of inequalities.
The graph attached below gives the solution to the given inequalities. The red region gives the graph of x + 3y > -3 and blue region gives the graph of y < x/2 + 1. The region of their intersection is the solution to the system of inequalities.