Exercises 17.3, page 484

  1. 1. x < 1 or x > 3

    A number line is shaded to the left of an open circle at 1, and to the right of an open circle at 3.

  2. 3.  − 4 < x < 4

    A number line is shaded between open circles at negative 4 and 4.

  3. 5. x ≤ 0 ,  x ≥ 2

    A number line is shaded to the left of a closed circle at 0, and to the right of a closed circle at 2.

  4. 7.  − 4 ≤ x ≤ 32

    A number line is shaded between closed circles at negative 4 and 3 over 2.

  5. 9. x =  − 2

    A number line is shaded at a closed circle at negative 2.

  6. 11. All R

    A number line is shaded to the left and to the right.

  7. 13. x <  − 2 ,  0 < x < 1 

    A number line is shaded to the left of an open circle at negative 2, and between open circles at 0 and 1.

  8. 15.  − 2 ≤ s ≤  − 1 ,  s ≥ 1

    A number line is shaded between closed circles at negative 2 and negative 1, and to the right of a closed circle at 1.

  9. 17.  − 6 < x ≤ 32

    A number line is shaded between an open circle at negative 6 and a closed circle at 3 over 2.

  10.   19.  − 5 < x <  − 1 ,  x > 7

    A number line is shaded between open circles at negative 5 and negative 1, and to the right of an open circle at 7.

  11. 21. x <  − 3

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

  12. 23. x ≤  − 2 ,  x ≥ 13

    The calculator graph of a horizontal line to the left of (negative 2, 1), and another to the right of (one-half, 1).

  13. 25. T < 3 ,  T ≥ 8

    The calculator graph of a horizontal line to the left of (3, 1), and another to the right of (8, 1).

  14. 27.  − 1 < x < 34 ,  x ≥ 6

    The calculator graph of a line segment from (negative 1, 1) to (1, 1), and a horizontal line to the right of (6, 1).

  15. 29. x < 0 ,  0 < x < 2 ,  4 < x < 5 ,  x > 9

    The calculator graph of a horizontal line to the left of (2, 1), a line segment from (4, 1) to (5, 1), and another horizontal line to the right of (9, 1).

  16. 31. x ≤  − 1 ,  x ≥ 4

  17. 33.  − 2 ≤ x ≤ 0

  18. 35. x > 1.52

    The calculator graph of a curve that rises through an open circle at (1.52, 0). The x-axis is shaded to the right.

  19.   37.  − 1.39 < x <  − 0.43

    The calculator graph of a curve that falls through an open circle at (negative 1.39, 0), and rises through an open circle at (negative 0.43, 0). The x-axis is shaded between circles.

  20. 39. x <  − 1.69 ,  x > 2.00

    The calculator graph of a curve that falls through an open circle at (negative 1.69, 0), and rises through an open circle at (2, 0). The x-axis is shaded to the left of negative 1.69 and to the right of 2.

  21. 41. x <  − 4.43 ,   − 3.11 < x <  − 1.08 ,  x > 3.15

    The calculator graph of a curve.

  22. 43. No; not true if 0 ≤ x ≤ 1

  23. 45. x2 − 3x − 4 > 0

  24. 47. x < 3.113 ,  x < 3 log 3 + 2 log 22 log 3 −  log 2

  25. 49. If b > a ,  a < x < b ;  If a > b ,  b < x < a

  26. 51. 2 < t < 3 min

  27. 53. 5 ≤ t ≤ 20 weeks

  28. 55. C1 > 43μF

  29. 57. h > 2640 km

  30. 59. h ≥ 2 cm

  31. 61. 0 ≤ t < 0.92 h

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