A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

clara1223

  • one year ago

Solve the inequality for x given that (x-6)/(x-3)(x-9)<0 a) (-inf,-6)U(6,9) b) (-inf,3)U(6,inf) c) (-inf,6)U(6,inf) d) (-inf,-3)U(6,9) e) (-inf,3)U(6,9)

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

    this is not as hard as it looks changes sign at 3,6,9

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

    divide number line up in to four intervals pick some interval and see if it is positive or negative there there, then you will know all

  3. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3,6,9 would all be open circles right?

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

    yeah but you don't need no circles, you need intervals

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

    \[(-\infty, 3),(3,6),(6,9),(9\infty)\] are your intervals check on one then alternate

  6. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    somehow i got that (-inf,3)U(3,6)U(9,inf)

  7. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have no idea what im doing wrong

  8. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh wait is it e?

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

    you have two adjacent intervals \((-\infty,3)\) and \((3,6)\) that can't be right

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

    it changes sign at 3 so if it is positive on one interval it must be negative on the other did you check on any one interval? with some practice you won't have too, but it doesn't hurt

  11. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i did a little math wrong and forgot that i'm looking for negatives, not positives

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

    what interval did you check?

  13. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got that (-inf,3) was negative, (3,6) was positive, (6,9) was negative, and (9,inf) was positive

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

    i would also point out that one only of the above answers is possible, even if you didn't check anything

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

    yeah at the risk of repeating myself you only have to check one if you know it is negative on \((-\infty,3)\) then it must be \[\huge -,+,-,+\]

  16. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so the correct answer is (-inf,3)(6,9), right?

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

    and yeah it is E

  18. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The graph confirms the answer you got https://www.desmos.com/calculator/ipckz8kxhy the portion on the interval (-inf, 3) is below the x axis the portion on the interval (6,9) is below the x axis everything else is either on the x axis or above it

  19. 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.