Answer Key 4.4

  1. x y
    [latex]1[/latex] [latex]5[/latex]
    [latex]0[/latex] [latex]2[/latex]
    [latex]-1[/latex] [latex]-1[/latex]

    Check [latex](0,0)[/latex]
    [latex]0>3(0)+2[/latex]
    False
    [latex]\therefore[/latex] Shade other side

    Graph with check (0,0)

  2. x y
    [latex]0[/latex] [latex]-3[/latex]
    [latex]4[/latex] [latex]0[/latex]
    [latex]-4[/latex] [latex]-6[/latex]

    Check [latex](0,0)[/latex]
    [latex]3(0)-4(0)>12[/latex]
    False
    [latex]\therefore[/latex] Shade other side

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

  3. x y
    [latex]0[/latex] [latex]3[/latex]
    [latex]-2[/latex] [latex]0[/latex]
    [latex]-4[/latex] [latex]-3[/latex]

    Check [latex](0,0)[/latex]
    [latex]0\ge 0+6[/latex]
    False
    [latex]\therefore[/latex] Shade other side

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

  4. x y
    [latex]0[/latex] [latex]-3[/latex]
    [latex]2[/latex] [latex]0[/latex]
    [latex]4[/latex] [latex]3[/latex]

    Check [latex](0,0)[/latex]
    [latex]0-0\ge 6[/latex]
    False
    [latex]\therefore[/latex] Shade other side

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

  5. x y
    [latex]0[/latex] [latex]5[/latex]
    [latex]-2[/latex] [latex]0[/latex]
    [latex]-4[/latex] [latex]-5[/latex]

    Check [latex](0,0)[/latex]
    [latex]0>0+10[/latex]
    False
    [latex]\therefore[/latex] Shade other side

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

  6. x y
    [latex]0[/latex] [latex]-5[/latex]
    [latex]-4[/latex] [latex]0[/latex]

    Check [latex](0,0)[/latex]
    [latex]0+0>-20[/latex]
    True
    [latex]\therefore[/latex] Shade the [latex](0,0)[/latex] side

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

  7. x y
    [latex]0[/latex] [latex]5[/latex]
    [latex]-4[/latex] [latex]0[/latex]

    Check [latex](0,0)[/latex]
    [latex]0\ge 0+20[/latex]
    False
    [latex]\therefore[/latex] Shade other side

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

  8. x y
    [latex]0[/latex] [latex]-5[/latex]
    [latex]-2[/latex] [latex]0[/latex]
    [latex]-4[/latex] [latex]5[/latex]

    Check [latex](0,0)[/latex]
    [latex]0+0\ge -10[/latex]
    True
    [latex]\therefore[/latex] Shade the [latex](0,0)[/latex] side

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

  9. ​
    x y
    [latex]6[/latex] [latex]2[/latex]
    [latex]5[/latex] [latex]1[/latex]
    [latex]4[/latex] [latex]0[/latex]
    [latex]3[/latex] [latex]1[/latex]
    [latex]2[/latex] [latex]2[/latex]
    [latex]0[/latex] [latex]4[/latex]

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

  10. x y
    [latex]6[/latex] [latex]6[/latex]
    [latex]5[/latex] [latex]5[/latex]
    [latex]4[/latex] [latex]4[/latex]
    [latex]3[/latex] [latex]3[/latex]
    [latex]2[/latex] [latex]4[/latex]
    [latex]1[/latex] [latex]5[/latex]
    [latex]0[/latex] [latex]6[/latex]

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

  11. x y
    [latex]5[/latex] [latex]3[/latex]
    [latex]4[/latex] [latex]2[/latex]
    [latex]3[/latex] [latex]1[/latex]
    [latex]2[/latex] [latex]0[/latex]
    [latex]1[/latex] [latex]1[/latex]
    [latex]0[/latex] [latex]2[/latex]
    [latex]-1[/latex] [latex]3[/latex]

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

  12. x y
    [latex]5[/latex] [latex]5[/latex]
    [latex]4[/latex] [latex]4[/latex]
    [latex]3[/latex] [latex]3[/latex]
    [latex]2[/latex] [latex]2[/latex]
    [latex]1[/latex] [latex]3[/latex]
    [latex]0[/latex] [latex]4[/latex]
    [latex]-1[/latex] [latex]5[/latex]

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

  13. x y
    [latex]5[/latex] [latex]-3[/latex]
    [latex]4[/latex] [latex]-2[/latex]
    [latex]3[/latex] [latex]-1[/latex]
    [latex]2[/latex] [latex]0[/latex]
    [latex]1[/latex] [latex]-1[/latex]
    [latex]0[/latex] [latex]-2[/latex]
    [latex]-1[/latex] [latex]-3[/latex]

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

  14. x y
    [latex]5[/latex] [latex]-1[/latex]
    [latex]4[/latex] [latex]0[/latex]
    [latex]3[/latex] [latex]1[/latex]
    [latex]2[/latex] [latex]2[/latex]
    [latex]1[/latex] [latex]1[/latex]
    [latex]0[/latex] [latex]0[/latex]
    [latex]-1[/latex] [latex]-1[/latex]

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

  15. x y
    [latex]1[/latex] [latex]-3[/latex]
    [latex]0[/latex] [latex]-2[/latex]
    [latex]-1[/latex] [latex]-1[/latex]
    [latex]-2[/latex] [latex]0[/latex]
    [latex]-3[/latex] [latex]-1[/latex]
    [latex]-4[/latex] [latex]-2[/latex]
    [latex]-5[/latex] [latex]-3[/latex]

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

  16. x y
    [latex]-5[/latex] [latex]-1[/latex]
    [latex]-4[/latex] [latex]0[/latex]
    [latex]-3[/latex] [latex]1[/latex]
    [latex]-2[/latex] [latex]2[/latex]
    [latex]-1[/latex] [latex]1[/latex]
    [latex]0[/latex] [latex]0[/latex]
    [latex]1[/latex] [latex]-1[/latex]

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

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