3.2.2 Solving Inequalities with Variables on Both Sides - Practice

1. Solve the inequality 4 x < 2 x + 16 and graph the solutions.

2. Solve the inequality and graph the solutions. 7 x − 41 ≤ 6.2 x + 7

3. Mrs. Williams is deciding between two field trips for her class. The Science Center charges $110 plus $7 per student. The Dino Discovery Museum simply charges $9 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?

4. John bought a computer scanner and supplies for $215.70, which will allow him to scan images for $0.34 each. A computer center charges $0.59 to scan each image. How many images must John scan before his total cost is less than getting scanned images at the computer center?

5. Solve the inequality 2(3 x − 20) > − 4 x and graph the solutions.

6. Solve the inequality − 5( x + 2) < − 5 x + 8.

7. Solve the inequality − 2( k − 5) < −2 k + 2.

8. Solve the inequality − 2(8 + 2 x ) < 4( − x − 4).

9. Solve the inequality 7 y + 7(3 − y ) > 2 y − 9.

176

Made with FlippingBook Digital Publishing Software