27. (x 1) (2x 1) For Exercises 28–31, solve for the indicated variable. 28. 3x 2y 4 for y 29. 6x y 12 for y S 2pr pr2h 30. for h 1 2 bh 31. A for b 32. a. The circumference of a circle is given by Solve this equation for C 2pr. p. b. Tom measures the radius of a circle to be 6 cm and the circumference to be 37.7 cm. Use these values to approximate p. (Round to 2 decimal places.) Section 1.4 For Exercises 33–38, solve the inequality and graph the solution set. Write the solution set in (a) set-builder notation and (b) interval notation. 33. 34. 35. 36. 37. 38. 6x 2 7 6 10x 15 5 71x 32 7 19x 4 3x 101x 52 5 4x 8 3 2x 4 9 8 39. Dave earned the following test scores in his biology class: 82, 88, 92, and 93. How high does he have to score on the fifth test to have an average of 90 or more? Review Exercises 123 Section 1.5 40. Explain the difference between the union and intersection of two sets.You may use the sets C and D in the following diagram to provide an example. C D Y X 5x 0 x 6 16 5x 0 x 106, Let , W Z 5x 0 x 36. 5x 0 x 7 16, and For Exercises 41–46, find the intersection or union of the sets X, Y, Z, and W. Write the answers in interval notation. 41. 42. X ¨ Y X ´ Y 43. 44. Y ´ Z Y ¨ Z 45. 46. For Exercises 47–56, solve the compound inequalities. Write the solutions in interval notation. 47. 48. 49. 50. 51. 52. 53. 54. 55. Z ´ W Z ¨ W 4m 7 11 and 4m 3 13 3y 1 10 and 2y 5 15 213x 12 6 10 or 312x 42 0 7 6 712w 32 or 2 6 4 13w 12 4 1 p12 51p32 2 7 p8 4 7 p1 or 2 1b 22 5b 6 56. 4 1 2 1x 12 6 3 2 2 3 t 3 1 or 3 4 t 2 7 7 1 2 h 12 7 12 and 1 2 h 10 7 1 5 4n 7 6 1 and 7 3n 8
miller_intermediate_algebra_4e_ch1_3
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