Chapter 8.5, Problem 65PE

Let $x$ represent the number of hours that Trenton spends studying algebra, and let $y$ represent the number of hours he spends studying history. For parts (a)-(e), write an inequality to represent the given statement. (See Example 7)

a. Trenton has a total of at most $9\text{ hr}$ to study for both algebra and history combined.

b. Trenton will spend at least $3\text{ hr}$ studying algebra.

c. Trenton will spend no more than $4\text{ hr}$ studying history.

d. The number of hours spent studying algebra cannot be negative.

e. The number of hours spent studying history cannot be negative.

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