Final answer:
To find the solution set for the inequalities y > -x - 1 and y > (1/3)x - 5, plot the boundary lines on a graph and shade the area above them. The common shaded region above both lines represents the solution set.
Step-by-step explanation:
The question asks for the graph of two inequalities: y > -x - 1 and y > (1/3)x - 5. To graph these inequalities, you would plot the corresponding lines y = -x - 1 and y = (1/3)x - 5, and then shade the area above each line since the inequalities are greater than, not equal to. The solution set contains all the points that are in the shaded region above both lines. The line y = -x - 1 will have a negative slope and intercept the y-axis at -1, while the line y = (1/3)x - 5 will have a positive slope of 1/3 and intercept the y-axis at -5. The common shaded area above both lines represents the set of points that satisfy both inequalities simultaneously.