Corresponding Region

Question

Keiko does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 8 hours. She spends at most 6 hours doing cardiovascular work. She spends at most 5 hours on weight training. Let x denote the time (in hours) that Keiko spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements. Please provide a graph showing the shaded and plot area.

Answer 1

Graph:

y + x ≥ 8

y ≤ 6

x ≤ 5