Exercises 1.1, page 5

  1. 1. Change 51 to  − 71 and  − 191 to 121 . 

  2. 3. Change 2 >  − 4 ,  2 is to the right of  − 4 ,  to  − 6 <  − 4 ,  − 6 is to the left of  − 4. Also the figure must be changed to show  − 6 to left of  − 4.

  3. 5. integer, rational, real; imag.

  4. 7. irrational, real; rational, real

  5. 9. 3, 3, π4 ,  not real

  6. 11. 6 < 8

  7. 13. π < 3.1416

  8. 15.  − 4 <  −  |  − 3 | 

  9. 17.  − 23 >  − 34

  10. 19. 13 ,   − 34 ,  by

  11. 21.

    A number line with 4 points: negative 12 over 5 is between negative 3 and negative 2; negative three-fourths is to the right of negative 1, square root of 3 is between 1 and 2, and 2.5 is between 2 and 3.
  12. 23. No,  | 0 |  = 0

  13. 25. The number itself

  14. 27. True

  15. 29. − 3.1 ,   −  |  − 3 |  ,   − 1 ,  5 ,  π ,   |  − 8 |  ,  9

  16. 31.

    1. Positive integer

    2. Negative integer

    3. Positive rational number less than 1

  17. 33.

    1. Yes

    2. Yes

  18. 35.

    1. To right of origin

    2. To left ...

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