45. (a) $(-1, 0) \cup (1, \infty)$; (b) Graph shows regions where the cubic curve is above the x-axis between -1 and 0, and for x > 1.
46. (a) $(-\infty, \frac{3}{2})$; (b) Graph shows the cubic curve below y=27 for all x < 1.5.
47. (a) $(-\infty, -2] \cup [0, 1]$; (b) Graph shows the cubic curve at or above the line y=2x for x ≤ -2 and 0 ≤ x ≤ 1.
48. (a) $(-\infty, 0] \cup [\frac{1}{2}, \frac{5}{2}]$; (b) Graph shows the cubic curve at or below the quadratic for x ≤ 0 and 0.5 ≤ x ≤ 2.5.
49. (a) $(-3, -2) \cup (2, 3)$; (b) Graph shows the quartic curve below the x-axis between -3 and -2, and between 2 and 3.
50. (a) $(-\infty, -\frac{3}{2}] \cup [-1, 1] \cup [\frac{3}{2}, \infty)$; (b) Graph shows the quartic curve at or above the x-axis for x ≤ -1.5, -1 ≤ x ≤ 1, and x ≥ 1.5.
51. $(0, \infty)$
52. $(-\infty, 0) \cup (0, \infty)$
53. $(-1, 0) \cup (0, 1)$
54. $(-2, 0) \cup (0, 2)$
55. $(1, \infty)$
56. $(-\infty, -1)$
57. $(-\infty, 1)$
58. $(-\infty, -2) \cup (-2, 1)$
59. $[-3, -2] \cup [2, 3]$
60. $[-2, -1] \cup [1, 2]$
61. $[-2, 1] \cup [2, \infty)$
Parent Tip: Review the logic above to help your child master the concept of polynomial inequalities worksheet.
