Page 37 - Math Course 3 (Book 1)

Graphing Linear Inequalities

Write and Solve an Inequality
Answer

y FOOD
18 You offer to go to the local deli and pick up
16 sandwiches for lunch. You have $30 to spend.
14 Chicken sandwiches cost $3.00 each and tuna
12 sandwiches are $1.50 each. How many
sandwiches can you purchase for $30?
10
8 A. 2 chicken sandwiches, 2 tuna sandwiches
6 B. 1 chicken sandwich, 1 tuna sandwich
4 C. 4 chicken sandwich, 4 tuna sandwiches
D. 4 chicken sandwich, 10 tuna sandwiches
2 x

0 2 4 6 8 10 12 14 16 18

Check Examine the situation.

• Lee cannot work a negative number of hours.
Therefore, the domain and range contain only
nonnegative numbers.

• Lee only wants to count articles that are
completely written or completely edited. Thus,
only points in the half-plane whose x- and
y-coordinates are whole numbers are possible
solutions.

• One solution is (2, 3). This represents 2 written
articles and 3 edited articles

Your Turn!

Graph an Inequality

Graph y – 3x < 2.

A. y B. y C. y D. y

x x x x
0 0 0 0

y –3x < 2 y –3x < 2 y –3x < 2 y –3x < 2

Answer

29