Home > Student Resources > Using Inequalities to Solve Word Problems

Using Inequalities to Solve Word Problems

Each week you can spend no more than 25 hours working and playing sports. You know you spend at least 10 more hours working than playing sports. Write and graph a system of inequalities to show all your options.

w=working time

s=sports time

$25\geq w+s$

$w\geq s+10$

S	W
0	10
5	15
10	20

(5,20)
$20\geq5+10$ ? Yes

S	W
0	25
5	15
10	15

(5,15)
$25\geq 5+15?$ Yes