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freemap

  • one year ago

Which system is graphed? A. y≤ x + 1 y < –2x – 4 B. y ≤ x + 1 y > –2x – 4 C. y < x + 1 y ≥ –2x – 4 D.y < x + 1 y ≤ –2x – 4

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  1. freemap
    • one year ago
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    My answer is D

  2. mathmate
    • one year ago
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    It could be right or wrong, without seeing the graph itself! :)

  3. freemap
    • one year ago
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    oh wow I forget to attach, just a sec

  4. freemap
    • one year ago
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    1 Attachment
  5. LynFran
    • one year ago
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    the broken lines means that its not equal to the equation so C and D out (not correct) ..

  6. mathmate
    • one year ago
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    @freemap Do you know how to determine the right inequalities?

  7. freemap
    • one year ago
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    May I have example, I'm pretty sure I do Though

  8. mathmate
    • one year ago
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    There are certain systematic ways to look at them. Would you me to show you?

  9. mathmate
    • one year ago
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    @LynFran has shown one of the ways to eliminate choices. There are ways to actually find the answers.

  10. freemap
    • one year ago
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    I thought since one line is dashed it would be < or> Since solid line it world be>/ because its greater than or equal to

  11. mathmate
    • one year ago
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    First, we look at the inequalities themselves. They are all identical, namely y=x+1 .....(1) has slope 1 and y-intercept 1. So that corresponds to the graphs. y=-2x-4 .....(2) has slope -2 and y-intercept -4, so that also corresponds to the graphs. That means the only criteria lie with the inequality signs. In this case, we have both dotted (strict inequality, > or <) and solid ((\le\) or (\ge\) ) lines, so that should be a first step.

  12. mathmate
    • one year ago
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    * \(\le\) or \(\ge\)

  13. mathmate
    • one year ago
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    The next step is to match the strict inequality, namely equation (2) is a strict inequality. where y>..... You will find that you choose the greater because you can look at the following drawing. |dw:1441116184475:dw|

  14. freemap
    • one year ago
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    I see

  15. mathmate
    • one year ago
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    For inequality 1, we look at the drawing:|dw:1441116366366:dw|

  16. mathmate
    • one year ago
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    So can you find the set of equation that satisfies both requirements? |dw:1441116467696:dw|

  17. LynFran
    • one year ago
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    woo such perfect explaining ...great job @mathmate

  18. mathmate
    • one year ago
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    @LynFran Thank you! :)

  19. freemap
    • one year ago
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    I have no clue I'm still thinking D

  20. freemap
    • one year ago
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    >and<

  21. LynFran
    • one year ago
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    B would be correct

  22. freemap
    • one year ago
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    b and d backwards ok, Thanks

  23. freemap
    • one year ago
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    Thanks everyone, I hate graphs

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