5.2.1 Solving Quadratic Inequalities - Worksheet
Example 1: Graph each inequality. 1. y > − ( x + 1) 2 + 5
2. y ≤ 2 x 2 − 4 x − 1
3. y ≤ − 3 x 2 + x + 3
Example 2: Solve each inequality by using tables or graphs. 4. x 2 − 5 x + 3 ≤ 3 5. 3 x 2 − 3 x − 1 > − 1
6. 2 x 2 − 9 x + 5 ≤ − 4
Example 3: Solve each inequality by using algebra. 7. x 2 + 10 x + 1 ≥ 12
8. x 2 + 13 x + 45 < 5
9. − 2 x 2 + 3 x + 12 > 10
Example 4: 10. A consultant advises the owners of a beauty salon that their profit p each month can be modeled by p ( x ) = − 50 x 2 + 3500 x − 2500, where x is the average cost that a customer is charged. What range of costs will bring in a profit of at least $50,000?
263
Made with FlippingBook flipbook maker