Jina does a weekly exercise program consisting of cardiovascular work and weight training. Each week she exercises for at least 6hours. She spends at most 11 hours doing cardiovascular work. She spends at most 4 hours of weight training. Let x denote the time(in hours) that jina spends doing cardiovascular work.

Yolanda does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 6 hours. She spends at most 11 hours doing cardiovascular work. She spends at most 4 hours on weight training. Let x denote the time (in hours) that Yolanda spends doing cardiovascular work. Let 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.

Here is my answer:

Let x is the hours of doing cardiovascular work

Let y is the hours of doing weight training

Given that :

Each week, she exercises for at least 6 hours.

<=> x + y ≥ 6 (1)

She spends at most 11 hours doing cardiovascular work.

<=> x ≤11 (2)

She spends at most 4 hours on weight training

<=> y ≤ 4 (2)

Note that times x and y are always no less than 0, so

x ≥0 (3)

y≥0 (4)

After that, we have the system of of inequalities (1) (2) (3) (4)

Please have a look at the attached photo, This diagram shows the triangle with vertices that is the solution set (triangle and all points inside triangle)