Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Brutus. Group Title

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

  • one year ago
  • one year ago

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

    |dw:1372837027496:dw|

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

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

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

    Yes. that is the equation.

    • one year ago
  4. zzr0ck3r Group Title
    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?

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

    Right.

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

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

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

    Yes.

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

    |dw:1372837247856:dw|

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

    i have forgot 3

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

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

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

    -1,2 Right?

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

    right

    • one year ago
  13. zzr0ck3r Group Title
    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?

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

    So far yes.

    • one year ago
  15. zzr0ck3r Group Title
    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

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

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

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

    Okay, I get it now.

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

    good deal:)

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

    I have another quick question

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

    oki

    • one year ago
  21. Brutus. Group Title
    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?

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

    (-infinity,-1)

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

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

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

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

    • one year ago
  25. zzr0ck3r Group Title
    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

    • one year ago
  26. Brutus. Group Title
    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.

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

    you sure it didn't say set builder?

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

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

    • one year ago
  29. zzr0ck3r Group Title
    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 <=

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

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

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

    Okay, thank you!

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

    np

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

    One more equation?

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

    Inequality*

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

    sure

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

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

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

    is that plus or minus?

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

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

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

    Plus. My bad

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

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

    • one year ago
  41. zzr0ck3r Group Title
    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

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

    the very last and should be or

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

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

    • one year ago
  44. Brutus. Group Title
    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?

    • one year ago
  45. zzr0ck3r Group Title
    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

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

    not exactly

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

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

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

    set it negative and flip the sign

    • one year ago
  49. Brutus. Group Title
    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

    • one year ago
  50. zzr0ck3r Group Title
    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

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

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

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

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

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

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

    • one year ago
  54. zzr0ck3r Group Title
    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

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

    Oh, I see.

    • one year ago
  56. zzr0ck3r Group Title
    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

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

    <=5

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

    You lost me there..

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

    But, Thank you so much for the help.

    • one year ago
    • Attachments:

See more questions >>>

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.