A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

When is it possible for a system of two inequalities to have no solution?

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

    when it leads to a contradiction\[x+y=1\]\[x+y=2\]subtract the first from the second and you get\[0=1\]which is never true

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

    Those are not inequalities guys.

  3. Xishem
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[x+y<1\]\[x+y>1\]

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

    But the idea is right. If the system leads you to a contradiction.

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

    thank you guys <3

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

    thanks no-data, your english is better than mine today I guess :P

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

    Thanks TT =)

  8. precal
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Inequalities are solution regions. You could have two regions that do not intersect at all.

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

    @precal You mean: The solution of an inequality is a region. So if you have two inequalities you have two regions. If these regions do not intersect then there is no solution for the system.In other words the solution is the empty set.

  10. precal
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, nicely put.

  11. 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.