2.1.5 Linear Inequalities in Two Variables - Worksheet
Example 1: Graph each inequality. 1. y > − 4
<− + y x 1 3
2. y ≤ 2
3. y ≥ x − 3
4.
2
Example 2: Graph each inequality using intercepts. 5. 3 x + 2 y > 12
6. 5 x − 2 y ≤ 20
7. − 4 x + 5 y < − 20
Example 3: 8. Charisse is buying two different types of cereals from the bulk bins at the store. Granola costs $2.29 per pound, and muesli costs $3.75 per pound. She has $7.00. Use x as the amount of granola and y as the amount of muesli. a. Write and graph an inequality for the amounts of each cereal she can buy.
b. How many pounds of granola can she buy if she buys 1.5 pounds of muesli?
9. The senior class sells hamburgers and hot dogs at a football game and makes a profit of $1.75 on each hamburger and $1.25 on each hot dog. The class would like a profit of at least $280. Let x
represent the number of hamburgers and y represent the number of hot dogs sold. a. Write and graph an inequality for the profit the senior class wants to make.
b. If the senior class sells 100 hot dogs and 50 hamburgers, will the class make its goal?
Example 4: Solve each inequality for y . Graph the solution. 10. 11. x y (6 2 ) 4 − ≥
1 2
− + ≥ x y 3 5
12. 3(3 x − y ) > − 12
2
105
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