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AonZ

  • one year ago

Represent the solution sets on the number line for |x+3|>1 and |2x+5| < 3

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  1. AonZ
    • one year ago
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    @whpalmer4

  2. AonZ
    • one year ago
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    |dw:1362125049826:dw|

  3. AonZ
    • one year ago
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    |dw:1362125068647:dw|

  4. AonZ
    • one year ago
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    ok now idk how to graph it

  5. amorfide
    • one year ago
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    to graph it take each side to be y= you have |x+3|>1 draw line y=x+3 then you know that because of the | | signs, your line is reflected so you only have a graph above the x axes. now draw the line y=1 then you want the region which y=|x+3| is greater than y=1

  6. whpalmer4
    • one year ago
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    No, we're supposed to show the result on the number line, no y involved here

  7. Stebie
    • one year ago
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    |dw:1362125192026:dw|

  8. amorfide
    • one year ago
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    he said graph it I instantly thought of the actual graph my bad

  9. Stebie
    • one year ago
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    |dw:1362125277366:dw|

  10. whpalmer4
    • one year ago
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    Ooh, @stebie that's not correct. Try out x = -2 in the original inequality, does it satisfy it?

  11. whpalmer4
    • one year ago
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    I just find the endpoints of the segments, then test a point to see whether the area between two endpoints, or between an endpoint and infinity is part of the solution set. I almost always use x=0 as a test point because the arithmetic is usually pretty trivial

  12. AonZ
    • one year ago
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    but this has 4 pair of answers

  13. whpalmer4
    • one year ago
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    @AonZ do you feel comfortable with this material now?

  14. AonZ
    • one year ago
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    umm not with this question still

  15. whpalmer4
    • one year ago
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    isn't this two questions?

  16. AonZ
    • one year ago
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    no these 2 question should be solved together i think

  17. whpalmer4
    • one year ago
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    it does say "solution sets"

  18. whpalmer4
    • one year ago
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    Well, if you think they are combined, plot all of the endpoints (solutions to the equalities), then try test points in each segment, plus between the endpoints and infinity. If the test point satisfies both inequalities, then that portion of the number line should be shaded.

  19. AonZ
    • one year ago
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    ok thanks

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