Exercises 1.1, page 5

1. Change $\frac{5}{1}$ $\frac{5}{1}$ to $\frac{- 7}{1}$ $\frac{- 7}{1}$ and $\frac{- 19}{1}$ $\frac{- 19}{1}$ to $\frac{12}{1} .$ $\frac{12}{1} .$
3. Change $2 > - 4,$ $2 > - 4,$ 2 is to the right of $- 4,$ $- 4,$ to $- 6 < - 4, - 6$ $- 6 < - 4, - 6$ is to the left of $- 4.$ $- 4.$ Also the figure must be changed to show $- 6$ $- 6$ to left of $- 4.$ $- 4.$
5. integer, rational, real; imag.
7. irrational, real; rational, real
9. 3, 3, $\frac{π}{4},$ $\frac{π}{4},$ not real
11. $6 < 8$ $6 < 8$
13. $π < 3.1416$ $π < 3.1416$
15. $- 4 < - | - 3 |$ $- 4 < - | - 3 |$
17. $- \frac{2}{3} > - \frac{3}{4}$ $- \frac{2}{3} > - \frac{3}{4}$
19. $\frac{1}{3}, - \frac{\sqrt{3}}{4}, \frac{b}{y}$ $\frac{1}{3}, - \frac{\sqrt{3}}{4}, \frac{b}{y}$
21.
23. No, $| 0 | = 0$ $| 0 | = 0$
25. The number itself
27. True
29. $- 3.1, - | - 3 |, - 1, \sqrt{5}, π, | - 8 |, 9$ $- 3.1, - | - 3 |, - 1, \sqrt{5}, π, | - 8 |, 9$
31.
1. Positive integer
2. Negative integer
3. Positive rational number less than 1
33.
1. Yes
2. Yes
35.
1. To right of origin
2. To left of $- 4$ $- 4$
37. Between 0 and 1
39. $a = any$ $a = any$ real number; $b = 0$ $b = 0$
41. 0.0008 F
43. $N = 1000 a n$ $N = 1000 a n$
45. Yes; $- 20$ $- 20$ is to right of $- 30$ $- 30$

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Table of Contents for Exercises 1.1, page 5