A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Can someone PLEASE help me out with Inequality? SOS

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

    1 Attachment
  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[X>7 or -2<X<6 or X \le-3\]

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

    that's the answer, and I don't understand how to do that!

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

    PLEASE @Emeyluv99 ?

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

    factorize the top and the bottom separately first

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

    you mean =0?

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

    yes

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

    so we get (x+3)((x-6) for the nominator

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

    and for the denominator we get (x-7)(x+2)

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

    ok, now, what values of x cannot work

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

    \[\frac{ (x-6)(x+3) }{ (x-7)(x+2) }\]

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

    7 and 2

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

    right?

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

    but how from here?

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

    can you please show how to calculate from here?

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

    @Emeyluv99

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

    sorru. computers being mean.. and be careful, its 7 and -2

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

    now the way I would do it, graph the quadratic you get in the numerator. See what values of x give a positive y and that's you're answer. Be careful to exclude 7 and -2 though

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

    that's what I did but I didn't get the asnswer

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

    from graphing you should get x<-3 and x>6... but, since we can't have 7 you should get X<-3, 6<x<7, and x>7

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

    but that's not the answer... thanks though

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

    @ganeshie8 will you be savior?

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

    my

  24. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440157290238:dw|

  25. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    pick any number to the left of -3 say -4 plug x = -4 in the given inequality

  26. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ (x-6)(x+3) }{ (x-7)(x+2)}\] plugging x=-4 gives \[\frac{ (-4-6)(-4+3) }{ (-4-7)(-4+2) }\] looks it is positive, yes ?

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

    yes

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

    but why would you put -4 from the first place?

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

    ?

  30. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can put any number to the left of -3 for testing since -4 is easy to work..

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

    oh ok, then what am I doing from here?

  32. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    since a number to the left of -3 satisfies the inequality, \(x\lt 3\) is part of the solution : |dw:1440158449273:dw|

  33. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lets check the next interval \((-3, -2)\) pick a number between -3 and -2

  34. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thr ? @Hipocampus

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

    -2.5

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

    sorry there's a slightly problem with the internet

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

    sorry I'm not following thanks though

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

    it's supposed to be a really easy question

  39. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ (x-6)(x+3) }{ (x-7)(x+2)}\] plugging x=-2.5 gives \[\frac{ (-2.5-6)(-2.5+3) }{ (-2.5-7)(-2.5+2) }\] looks it is negative, yes ?

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

    yes

  41. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so the interval (-3, -2) is not a solution : |dw:1440159462256:dw|

  42. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    to test the next interval \((-2,6)\) pick some easy number between them and plug it in the inequality

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

    so I need to plug in 4 times?

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

    can we try -1.5 together please? I think I've got it!

  45. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    try some easy number like x=0

  46. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    0 is between -2 and 6

  47. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ (x-6)(x+3) }{ (x-7)(x+2)}\] plugging x=0 gives \[\frac{ (0-6)(0+3) }{ (0-7)(0+2) }\] looks it is positive, yes ?

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

    YES!!

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

    so between -2 and 6 it's ok

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

    8 is negative then no

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

    and 7.5 is fine likewise

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

    so what we get is that -3>x, -2<x<6 and x>7

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

    you're brilliant! thank you so so much!!!!!!

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

    7.5 isn't good right

  55. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440159894339:dw|

  56. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    double check with wolfram http://www.wolframalpha.com/input/?i=solve+%28x%5E2-3x-18%29%2F%28x%5E2-5x-14%29%3E%3D0

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

    thanks a lot!!!!!

  58. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np, the basic procedure for solving rational inequalities is : 1) factor both numerator and denomiantor 2) find the x values where the numerator or denominator equal 0 3) plot them on number line 4) pick a number in each interval and test the inequality

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

    @ganeshie8 is there any easier way to solve it?

  60. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm i can't think of any other easy way to solve it.. post it again and see what others have to say..

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.