1.

2.

3. `5/2 < 4`	4. `-3/2 > -3`	5. `2/3 > 0.6666`	6. `1/5 = 0.2`
7. `1.75 < 2.23`	8. `1.25 < 1.3`	9. `0.bar36 = 4/11`	10. `0.4 < 4/9`
11. `10/5 = 2`	12. `0/2 = -0/5`	13. `pi > 3.14159`	14. `22/7 > pi`

15.		`(3,5)`
16.		`[-2,1)`
17.		`(-oo,3)`
18.		`[4,oo)`
19.		`[0,3)`
20.		`(-4,4]`
21.		`(-oo,-3)uu[2,oo)`
22.		`(-oo,2]uu(3,oo)`
23.		`(3,4)`
24.		`(-oo, oo)`
25.		`(-1,3]`
26.		`(-oo,5)`

27.		`-4 <= x <= 1`
28.		`-2 <= x < 3`
29.		`1 < x < 5`
30.		`1 < x <= 4`
31.		`x >= 2.5`
32.		`x <= 3`
33.		`x < 2`
34.		`x > pi`
35.		`x <= 2 \ \ \ \ \ ` or ` \ \ \ \ \ x > 3`
36.		`x < 1 \ \ \ \ \ ` or ` \ \ \ \ \ x > 4`
37.		`x < 3 \ \ \ \ \ ` or ` \ \ \ \ \ x > 3`
38.		`x < 1 \ \ \ \ \ ` or ` \ \ \ \ \ x >= 2`

	Inequality Notation	Interval Notation	Graph
39.	`x <= 3`	`(-oo,3]`
40.	`x > -2`	`(-2,oo)`
41.	`-1 < x <= 2`	`(-1,2]`
42.	`-3 <= x < -1`	`[-3,-1)`
43.	`1 <= x <= 4`	`[1,4]`
44.	`x < -1`	`(-oo,-1)`
45.	`-2 <= x < pi`	`[-2,pi)`
46.	`x < 2 \ \ \ \ \ ` or ` \ \ \ \ \ x >= 4`	`(-oo,2)uu[4,oo)`

47. `4`	48. `8`	49. `27.4`	50. `-4`	51. `-11`
52. `32`	53. `y^2+10`	54. `x^2+1`	55. `1+pi`	56. `8`
57. `9`	58. `2x-2`	59. `x+7`	60. `x+3`

61. `7`	62. `5`	63. `8`	64. `13`
65. `50`	66. `130`	67. `33`	68. `pi-3`
69. `pi+3`	70. `9/14`	71. `5/12`	72. `8`

73. `|a-2|`	74. `|b+7|`	75. `|m-n| or |n-m|`	76. `|p+8|`
77. `|a-4| < z`	78. `|z-5| > 4`	79. `|x+2| < 7`	80. `|y+3| > 6`

81. `(-oo,3)uu(3,oo)`	82. `(-oo,oo)`	83. `(-3,3)`	84. `(-oo,-2)uu(2,oo)`
85. False	86. True	87. True

88a. `1/2(5+8-|5-8|)=1/2(13-|-3|)=1/2(13-3)=1/2(10)=5`

88b. `1/2((-2)+7-|(-2)-7|)=1/2(5-|-9|)=1/2(5-9)=1/2(-4)=-2`

88c. `1/2((-4)+(-7)-|(-4)-(-7)|)=1/2((-11)-|3|)=1/2((-11)-3)=1/2(-14)=-7`

89. When `x > y`	`1/2(x+y-|x-y|)=1/2(x+y-(x-y))=1/2(x+y-x+y)=1/2(2y)=y`
89. When `x < y`	`1/2(x+y-|x-y|)=1/2(x+y-(y-x))=1/2(x+y-y+x)=1/2(2x)=x`
90. When `a` and `b` are both nonnegative.