Section 2.8 Linear Inequalities 177 For Exercises 23–28, write each set in set-builder notation and in interval notation. (See Example 3.) Set-Builder Notation Graph Interval Notation ( 23. 24. 34 0.3 ( ) 1 8 0 14 ( 0 9 25. 26. 27. 28. For Exercises 29–34, graph each set and write the set in set-builder notation. (See Example 3.) Set-Builder Notation Graph Interval Notation 29. 30. 318, 2 310, 24 1, 0.62 a, 5 3 b 33.5, 7.12 310, 2 31. 32. 33. 34. Concepts 3–4: Properties of Inequality For Exercises 35–42, solve the equation in part (a). For part (b), solve the inequality and graph the solution set. Write the answer in set-builder notation and interval notation. (See Examples 4–7.) 35. a. x 3 6 36. a. y 6 12 37. a. p 4 9 38. a. k 8 10 b. b. b. b. x 3 7 6 y 6 12 p 4 9 k 8 6 10 39. a. 40. a. 41. a. 42. a. 4c 12 5d 35 10z 15 2w 14 b. b. b. b. 4c 6 12 5d 7 35 10z 15 2w 6 14 Concept 5: Inequalities of the Form a x b For Exercises 43–48, graph the solution and write the set in interval notation. (See Example 8.) 43. 44. 45. 1 6 y 4 2.5 t 6 5.7 0 6 x 3 6 8 46. 2 x 4 3 47. 8 4x 24 48. 9 6 3x 6 12
miller_beginning_intermediate_algebra_4e_ch1_3
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