94 Chapter 1 Linear Equations and Inequalities in One Variable Review Exercises 2. Write the solution set to the inequality in set-builder notation and in interval notation. 4 6 x 1 For Exercises 3–6, solve the linear inequality.Write the solution in interval notation. 3 4 3. 6u 8 2 4. 2 3z 4 5. p 6. Concept 1: Union and Intersection of Sets 5 7 12 w P 5a, b, c, d, e, f, g, h, i6 1 3 7. Given:M {3,1, 1, 3, 5} and 8. Given: and Q 5a, e, i, o, u6 N {4,3,2,1, 0}. (See Example 1.) . List the elements of the following sets: List the elements of the following sets. a. b. a. b. M ¨ N M ´ N P ¨ Q P ´ Q For Exercises 9–20, refer to the sets A, B, C, and D. Determine the union or intersection as indicated. Express the answer in interval notation, if possible. (See Example 2.) A 5x 0 x 6 46, B 5x 0 x 7 26, C 5x 0 x 76, D 5x 00 x 6 56 9. 10. 11. A C B C A ´ B 12. 13. 14. A ´ D A B A D 15. 16. 17. B ´ C B ´ D C D 18. 19. 20. B D C ´ D A ´ C For Exercises 21–26, find the intersection and union of sets as indicated. Write the answers in interval notation. (See Example 3.) 1 b , 42 ¨ 31 1, 52 2, 52 ¨ 31, 2 21. a. 22. a. 23. a. b. b. b. a a 5 2 , 3b ¨ a1, 31 1, 52 ¨ 10, 32 1 4, 54 ¨ 10, 24 3.4, 1.62 ¨ 12.2, 4.12 24. a. 25. a. 26. a. 31 1, 52 ´ 10, 32 1 4, 54 ´ 10, 24 3.4, 1.62 ´ 12.2, 4.12 b. b. b. 9 2 Concept 2: Solving Compound Inequalities: And For Exercises 27–36, solve the compound inequality and graph the solution. Write the answer in interval notation. (See Examples 4–6.) 27. and 28. and y 7 9 y 2 5 a 6 7 2 5a 6 30 2t 7 6 19 5t 13 7 28 5p 2p 21 9p 3p 24 29. and 30. and 31. and 32. and 2.1k 1.1 0.6k 1.9 0.6w 0.1 7 0.3w 1.1 0.3k 1.1 6 0.1k 0.9 2.3w 1.5 0.3w 6.5 5 2 , 3b ´ a1, 9 2 1 b , 42 ´ 31 1, 52 2, 52 ´ 31, 2
miller_intermediate_algebra_4e_ch1_3
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