Answer Key 4.4

  1. x y
    1 5
    0 2
    -1 -1

    Check (0,0)
    0>3(0)+2
    False
    ∴ Shade other side

    Graph with check (0,0)

  2. x y
    0 -3
    4 0
    -4 -6

    Check (0,0)
    3(0)-4(0)>12
    False
    ∴ Shade other side

    Graph with intersect at (-5,-5), (-3,0), (4,0)

  3. x y
    0 3
    -2 0
    -4 -3

    Check (0,0)
    0\ge 0+6
    False
    ∴ Shade other side

    Graph with line intersecting at (-2,0), (0,3)

  4. x y
    0 -3
    2 0
    4 3

    Check (0,0)
    0-0\ge 6
    False
    ∴ Shade other side

    Graph with line intersecting at (0,-3), (2,0)

  5. x y
    0 5
    -2 0
    -4 -5

    Check (0,0)
    0>0+10
    False
    ∴ Shade other side

    Graph with line intersecting at (-4, -5), (-2,0), (0,5)

  6. x y
    0 -5
    -4 0

    Check (0,0)
    0+0>-20
    True
    ∴ Shade the (0,0) side

    Graph with lines intersecting at (-4,0) and (-5,0)

  7. x y
    0 5
    -4 0

    Check (0,0)
    0\ge 0+20
    False
    ∴ Shade other side

    Graph with line intersecting at (-4,0), (0, 5)

  8. x y
    0 -5
    -2 0
    -4 5

    Check (0,0)
    0+0\ge -10
    True
    ∴ Shade the (0,0) side

    Graph with line intersecting at (-2,0) and (-5,0)


  9. x y
    6 2
    5 1
    4 0
    3 1
    2 2
    0 4

    Graph with line intersecting at (0,4), (2,3), (3,1), (4,0), (5,1)

  10. x y
    6 6
    5 5
    4 4
    3 3
    2 4
    1 5
    0 6

    Graph with line intersecting at (0,6,), (1,5), (2,4), (3,3), ((4,4), (5,5)

  11. x y
    5 3
    4 2
    3 1
    2 0
    1 1
    0 2
    -1 3

    Graph with line intersecting at (-2,4), (-1,3), (0,2), (1,1), (2,0), (3,1), (4,2)

  12. x y
    5 5
    4 4
    3 3
    2 2
    1 3
    0 4
    -1 5

    Graph with line intersecting at (-1,5), (0,4), (1,3), (2,2), (3,3), (4,4), (5,5)

  13. x y
    5 -3
    4 -2
    3 -1
    2 0
    1 -1
    0 -2
    -1 -3

    Graph with line intersectint at (-1,-3), (0<-2), (1,-1) (2,0), (3,-1), (4,-2), (5,-3)

  14. x y
    5 -1
    4 0
    3 1
    2 2
    1 1
    0 0
    -1 -1

    Graph with line intersecting at (-1,1), (0,0), (1,1) (2,2), (3,1), (4,0), (5,-1)

  15. x y
    1 -3
    0 -2
    -1 -1
    -2 0
    -3 -1
    -4 -2
    -5 -3

    Graph with line intersecting at (-5,-3), (-4,-3), (-3, -1), (-2,0), (-1,-1), (0,2), (1,3)

  16. x y
    -5 -1
    -4 0
    -3 1
    -2 2
    -1 1
    0 0
    1 -1

    Graph with line intersecting at (-5,-1), (-4,0), (-3,1), (-2,2), (-1,-1), (0,0), (1,-1)

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Intermediate Algebra by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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