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 graph represents his possible training times this week?

For this case we define the following variables:

x: Number of times Dominick runs per week

y: Number of times that Dominick swims per week

If you spend more than 6h training per week, we have an inequality of the form:

The set of inequality solution is given by the shaded region of the graph (See attached image)