Exercises 17.1, page 474

  1. 1. x + 1 < 0 is true for all values of x less than  − 1 ;  x <  − 1 . 

  2. 3.  − 2 >  − 4 ,  multiplied by  − 3 gives 6 < 12 ;  divided by  − 2 gives 1 < 2 . 

  3. 5. 9 < 14

  4. 7. 16 < 36

  5. 9.  − 4 >  − 9

  6. 11. 16 < 81

  7. 13. x >  − 2

  8. 15. x ≤ 38

  9. 17. 1 < x < 7

  10. 19. x <  − 5 or x ≥ 3

  11. 21. x < 1 or 3 < x ≤ 5

  12. 23.  − 2 < x < 2 or 3 ≤ x < 4

  13. 25. x is greater than 0 and less than or equal to 9.

  14. 27. x is less than  − 10 ,  or greater than or equal to 10 and less than 20.

  15. 29.

    A number line is shaded to the left of an open circle at 3.

  16. 31.

    A number line is shaded to the left of a closed circle at negative 1, and to the right of an open circle at 0.5.

  17. 33.

  18. 35.

  19. 37.

  20. 39.

  21. 41.

  22. 43.

  23. 45. Absolute inequality ...

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