In exercises 1 and 2, graph each number on a real number line
1. `-4`; `-2`; `7/4`; `2.5`	2. `-3.5`; `0`; `3`; `9/4`

In exercises 3 to 14, replace the `square` with the appropriate symbol (` < `, `=`, or ` > `).
3. `5/2 square 4`	4. `-3/2 square -3`	5. `2/3 square 0.6666`	6. `1/5 square 0.2`
7. `1.75 square 2.23`	8. `1.25 square 1.3`	9. `0.bar36 square 4/11`	10. `0.4 square 4/9`
11. `10/5 square 2`	12. `0/2 square -0/5`	13. `pi square 3.14159`	14. `22/7 square pi`

In exercises 15 to 26, graph each inequality and write the inequality using interval notation.
15. `3 < x < 5`	16. `-2 <= x < 1`	17. `x < 3`	18. `x >= 4`
19. `x >= 0` and `x < 3`	20. `x > -4` and `x <= 4`	21. `x < -3` or `x >= 2`	22. `x <= 2` or `x > 3`
23. `x > 3` and `x < 4`	24. `x > -5` or `x < 1`	25. `x <= 3` and `x > -1`	26. `x < 5` and `x <= 2`

In exercises 27 to 38, graph each interval and write each interval as an inequality.
27. `[-4,1]`	28. `[-2,3)`	29. `(1,5)`	30. `(1,4]`
31. `[2.5,oo)`	32. `(-oo,3]`	33. `(-oo,2)`	34. `(pi,oo)`
35. `(-oo,2]uu(3,oo)`	36. `(-oo,1)uu(4,oo)`	37. `(-oo,3)uu(3,oo)`	38. `(-oo,1)uu[2,oo)`

In exercises 39 to 46, use the given notation or graph to supply the notation or graph that is marked with a question mark.
	Inequality Notation	Interval Notation	Graph
39.	`x <= 3`	?	?
40.	?	`(-2,oo)`	?
41.	?	?
42.	`-3 <= x < -1`	?	?
43.	?	`[1,4]`	?
44.	?	?
45.	?	`[-2,pi)`	?
46.	`x < 2 \ \ \ \ \ ` or ` \ \ \ \ \ x >= 4`	?	?

In exercises 47 to 60, write each expression without absolute value symbols.
47. `|4|`	48. `|-8|`
49. `|-27.4|`	50. `|3|-|-7|`
51. `-|-3|-|8|`	52. `|4| |-8|`
53. `|y^2+10|`	54. `|x^2+1|`
55. `|-1-pi|`	56. `|x+6|+|x-2|`, given `0 < x < 1`
57. `|x-4|+|x+5|`, given `2 < x < 3`	58. `|x+1|+|x-3|`, given `x > 5`
59. `|(x+7)/(|x|+|x-1|)|`, given `0 < x < 1`	60. `|(x+3)/(|x-1/2|+|x+1/2|)|`, given `0 < x < 0.2`

In exercises 61 to 72, find the distance between the points whose coordinates are given.
61. `8,1`	62. `-2,-7`	63. `-3,5`	64. `-5,8`
65. `16,-34`	66. `-108,22`	67. `-38,-5`	68. `pi,3`
69. `-pi,3`	70. `1/7,-1/2`	71. `1/3,3/4`	72. `0,-8`

In exercises 73 to 80, use absolute value notation to describe the given expression.
73. Distance between `a` and `2`	74. Distance between `b` and `-7`
75. `d(m,n)`	76. `d(p,-8)`
77. The distance between `a` and `4` is less than `z`.	78. The distance between `z` and `5` is greater than `4`.
79. The distance between `x` and `-2` is less than `7`.	80. The distance between `y` and `-3` is greater than `6`.

In exercises 81 to 84, write interval notation for the given expression.
81. `x` is a real number and `x!=3`.	82. `x` is a real number whose square is nonnegative.
83. `x` is a real number whose absolute value is less than `3`.	84. `x` is a real number whose absolute value is greater than `2`.

In exercises 85 to 87, determine whether each statement is true or false.

85. `|x|` is a positive number.

86. `|-y|=y`

87. If `m < 0`, then `|m|=-m`.

88. For any two different real numbers `x` and `y`, the smaller of the two numbers is given by `1/2(x+y-|x-y|)` Verify the statement given for
a. `x=5` and `y=8`	b. `x=-2` and `y=7`	c. `x=-4` and `y=-7`

89. Prove the expression in Exercise 88 yields the smaller of the numbers `x` and `y`. Hint:Evaluate the expression for the two cases `x > y \ \ \ \ \ ` and ` \ \ \ \ \ x < y`

90. The inequality `|a+b| <= |a|+|b|` is called the triangle inequality. For what values of `a` and `b` does `|a+b|=|a|+|b|`