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Section 4: Exercizes

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 1.4 Compound Inequalities 63 Version: Fall 2007 1.4 Exercises In Exercises 1 - 12 , solve the inequality. Express your answer in both interval and set notations, and shade the solution on a number line. 1. 8 x 3 ≤ − 16 x 1 2. 6 x 6 > 3 x + 3 3. 12 x + 5 ≤ − 3 x 4 4. 7 x + 3 ≤ − 2 x 8 5. 11 x 9 < 3 x + 1 6. 4 x 8 ≥ − 4 x 5 7. 4 x 5 > 5 x 7 8. 14 x + 4 > 6 x + 8 9. 2 x 1 > 7 x + 2 10. 3 x 2 > 4 x 9 11. 3 x + 3 < 11 x 3 12. 6 x + 3 < 8 x + 8 In Exercises 13 - 50 , solve the compound inequality. Express your answer in both interval and set notations, and shade the solution on a number line. 13. 2 x 1 < 4 or 7 x + 1 ≥ − 4 14. 8 x + 9 < 3 and 7 x + 1 > 3 15. 6 x 4 < 4 and 3 x +7 ≥ − 5 16. 3 x + 3 8 and 3 x 6 > 6 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 17. 8 x + 5 ≤ − 1 and 4 x 2 > 1 18. x 1 < 7 and 6 x 9 8 19. 3 x + 8 ≤ − 5 or 2 x 4 ≥ − 3 20. 6 x 7 < 3 and 8 x 3 21. 9 x 9 9 and 5 x > 1 22. 7 x + 3 < 3 or 8 x 2 23. 3 x 5 < 4 and
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