Chapter 8, Problem 54RE

Let $x$ represent the number of hours that Gordon spends tutoring math, and let $y$ represent the number of hours that he spends tutoring English. For parts (a)-(d), write an inequality to represent the given statement.

a. Gordon has at most $12\text{ hr}$ to tutor per week.

b. The amount of time that Gordon spends tutoring English is at least twice the amount of time he spends tutoring math.

c. The number of hours spent tutoring math cannot be negative.

d. The number of hours spent tutoring English cannot be negative.

e. Graph the solution set to the system of inequalities from parts (a)-(d).