Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lyssa

  • 3 years ago

What are the solution intervals for |2x – 1| + 6 > 9?

  • This Question is Closed
  1. lyssa
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I need help just figuring it out

  2. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Like @asnaseer did, simplify this inequality. \(|2x-1|+6-6>9-6\\|2x-1|>3\) And now you may proceed to setting up two inequations.

  3. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know how to set up those inequations?

  4. lyssa
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    2x-1>3 2x>4 x>2 -2x-1<-3 -2x<-2 x>1 Are these right?

  5. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Excellent! :)

  6. lyssa
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but here is the choices A.x < –1 or x > 2 B.x < 1 or x > –2 C.x > –1 and x < 2 D.x > 1 and x < –2

  7. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Although the negative one is wrong -------------------- \(2x-1<-3\\2x<-2\\x<\frac{-2}{2}\\x<-1\)

  8. lyssa
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So it is A?

  9. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Since the absolute value of \(2x-1\) must be greater than 3, \(2x-1\) could be in the negative side too, -4,-5,-6,-7 and so on, because when you take the absolute value of these, you get something greater than 3.

  10. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes.

  11. lyssa
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks sooo much:D I have more questions maybe you could help with them too:D

  12. zepp
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Sure :)

  13. lyssa
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    K i will post them as a new question:D

  14. 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