Dominick is training for a race. he spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. this week, he spent more than 6 hours training for the race. which represents his possible training times this week?

Time running: r
Time swimming: s

r/s  = 1.5/0.75 = 2 ⇒ r = 2s

r + s > 6

2s + s > 6

3s > 6

s > 2

Possible times:

r = 2s and s>2

Draw the lines s=2 and r=2s

s=2 is a vertical line (parallel to r axis) and the set of solutions for r >2 is all the area further to the righ of s = 2

r = 2s is a leaned line.

The solutions are all the points that belong to the line r =2s and are furtther to the right of s=2, but below a feasible s (beacause he cannot train more than certain number of hours daily)

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