Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Brutus.

  • one year ago

Need some Assistance. (x-3)^2/(x+1)(x-2)>0 I'm supposed to solve it and express my answer in interval notation.

  • This Question is Closed
  1. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1372837027496:dw|

  2. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    is this \[\frac{(x-3)^{2}}{(x+1)(x-2)}\]?

  3. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes. that is the equation.

  4. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so the top is >0 for all x does not equal 3 right?

  5. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Right.

  6. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so we need to make sure the bottom is > 0 right?

  7. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes.

  8. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1372837247856:dw|

  9. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have forgot 3

  10. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the bottom is a parabola that opens up, what are its x intercepts?

  11. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -1,2 Right?

  12. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    right

  13. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so the bottom is greater than 0 when x<-1 and x>2, because it opens up and crosses y=0 at -1,2 with me?

  14. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So far yes.

  15. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so we know the top is grater than 0 when x is not 3 we know the bottom is greater than 0 when x<-1 and x>2 so the whole thing is greater than 0 when x<-1 and x>2 and x does not equal 3

  16. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (-infinity,-1)U(2,3)U(3,infinity)

  17. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, I get it now.

  18. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good deal:)

  19. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have another quick question

  20. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oki

  21. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I had another problem like this and I solved it and got x<-1. How would I write that in interval notation?

  22. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (-infinity,-1)

  23. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if it was <= (-infinity,-1]

  24. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The original problem was \[3(1-\frac{ 3 }{4 }x)>5-\frac{ 1 }{ 4 }x\]

  25. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    3-(9/4)x>5-(1/4)x -(8/4)x>5-3 2x<-2 x<-1 correct

  26. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[x <-1\] I wrote the interval notation like so (-infinity,-1). But for some reason, my professor marked off points and circled interval notation.

  27. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you sure it didn't say set builder?

  28. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The question said Solve the inequalities and express your answer in Interval notation.

  29. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    he/she is wrong http://www.regentsprep.org/Regents/math/ALGEBRA/AP1/IntervalNot.htm look at non ending interval note: we have ) not ] because we have < not <=

  30. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    just go talk to your teacher, I make mistakes grading all the time....

  31. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, thank you!

  32. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np

  33. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    One more equation?

  34. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Inequality*

  35. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sure

  36. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[|\frac{x=1 }{ 4}|\ge4\]

  37. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    is that plus or minus?

  38. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I know your supposed to get two answers. I got one which was \[x \ge15\]

  39. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Plus. My bad

  40. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[|\frac{ x+1 }{4 }|\]

  41. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so this is strange and you may need to think about it a bit, but when you have |a|=b we get a=b and a=-b when you have |a|<b we get -b<x<b when you have |a|>b we get a<b and a>-b

  42. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the very last and should be or

  43. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    *when you have |a|>b we get a<b or a>-b

  44. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, So if I want the other answer I set the 4 to a negative answer?

  45. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you have abs((x+1)/4)>=4 so (x+1)/4>=4 gives the solutions you already have

  46. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    not exactly

  47. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we do (x+1)/4<=-4 x+1<=-16 x<=-17

  48. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    set it negative and flip the sign

  49. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ah, that's what confused me.. Didn't know what to do with my sign

  50. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you could have done -(x+1)/4<=4 but as a rule I just make the "non absolute value side" negative

  51. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Good rule! With interval notation, how would I write this?

  52. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think its \[(-\infty,-17]U(\infty,15]\]

  53. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (-infinity,-17]U[15,infinity)

  54. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    think of the number line, write it in the order it would fall on the number line

  55. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, I see.

  56. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and note that (infinity,5] does not make since, because if x were to be in there then infinity < x < 5

  57. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    <=5

  58. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You lost me there..

  59. Brutus.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But, Thank you so much for the help.

  60. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.