"

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 Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.