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anonymous

  • one year ago

Determine the type of boundary line and shading for the graph of the inequality -2x - y < -6 Choose one answer. a. Dashed line with shading on the side that includes the origin. b. Solid line with shading on the side that does not include the origin. c. Dashed line with shading on the side that does not include the origin. d. Solid line with shading on the side that includes the origin.

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  1. anonymous
    • one year ago
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    so it is less than which means dashed?

  2. DanJS
    • one year ago
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    put in the form y > .... first

  3. anonymous
    • one year ago
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    oh alright

  4. DanJS
    • one year ago
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    y > -2x + 6

  5. anonymous
    • one year ago
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    dashed still?

  6. DanJS
    • one year ago
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    yes, \[\gt~or ~\lt~~dashed\] \[\ge~or~\le~~solid line\]

  7. DanJS
    • one year ago
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    just remember it can equal the line, so solid line means include those points on the line

  8. anonymous
    • one year ago
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    oh alright

  9. DanJS
    • one year ago
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    now you can just pick 2 points and connect them, x=0 and x=1

  10. DanJS
    • one year ago
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    When x=0, y = 6, point (x,y) = (0,6) When X=1, y = -2 + 6 = 4 . point (x,y) = (1,4)

  11. anonymous
    • one year ago
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    this does not include the origin correct?

  12. DanJS
    • one year ago
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    |dw:1437601290059:dw|

  13. anonymous
    • one year ago
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    http://gyazo.com/9ad5ae8bf49066d458c9301d46619cf4

  14. DanJS
    • one year ago
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    Since it is "Less than" you shade underneath the line...

  15. DanJS
    • one year ago
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    Greater than, you would shade above

  16. anonymous
    • one year ago
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    so above

  17. anonymous
    • one year ago
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    you said earlier the equation was different. i showed it in my link

  18. DanJS
    • one year ago
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    yeah i just noticed i mistyped,... right y > -2x + 6 , greater than , shade above the line

  19. anonymous
    • one year ago
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    are you sure its dashed line for greater than or less than?

  20. anonymous
    • one year ago
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    i would think it would be solid in that case

  21. DanJS
    • one year ago
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    yes greater than or less than, dashed line, it doesnt include the line,

  22. anonymous
    • one year ago
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    so the answer to this one was c

  23. DanJS
    • one year ago
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    yes, another quick thing you could do for these types probs, is simply test the origin

  24. DanJS
    • one year ago
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    x = 0, y = 0 -2*0 - 0 < - 6 0 < 6 False, the origin is not part of the solution/shaded area

  25. DanJS
    • one year ago
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    and it is dotted because of > or <

  26. anonymous
    • one year ago
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    could i check another equation?

  27. DanJS
    • one year ago
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    sure, we can do it the quick way

  28. anonymous
    • one year ago
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    just wanna make sure im doing it right i got the answer already i think

  29. anonymous
    • one year ago
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    http://gyazo.com/f91fa996a6ecec7fd818376c3715b8ec

  30. anonymous
    • one year ago
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    a. 2x - 5y -10 b. x - y > 3 c. 2x - y < -4 d. x + 2y -8

  31. anonymous
    • one year ago
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    i chose d

  32. DanJS
    • one year ago
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    what is the sign in d

  33. anonymous
    • one year ago
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    greater than or equal to

  34. DanJS
    • one year ago
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    ok, that part is right, it is a solid line and shaded above > or = to

  35. DanJS
    • one year ago
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    now test a couple points on the line... When x =0, y=-4 on the graph, test in answer d

  36. DanJS
    • one year ago
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    0 + 2y = -8 y = -4 , so far so good, now test one more point

  37. DanJS
    • one year ago
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    When y=0, x = -8 on the graph.. x + 2(0) = -8 True also, choice d works

  38. anonymous
    • one year ago
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    Alright thanks for the help

  39. DanJS
    • one year ago
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    no prob, good luck

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