A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

JozelynW

  • one year ago

I know where two lines intersect is the solution for a set of linear equations. But for linear inequalities how do you find the solution????

  • This Question is Closed
  1. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    start by writing both inequalities in the form y = ________ if y < _____, shade below the line if y > _____, shade above the line the solution will be the area where the shaded parts overlap (unlike linear equations, the solution isn't going to be just one point. it will be a region of points)

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

    also, for < and >, use a dotted line. for <= and >=, (greater than or equal to/less than or equal to) use a solid line

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

    quick example: y > x + 2 y < 2x + 5

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

    start by graphing y = x + 2 and y = 2x + 5 using dotted lines

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

    righttt but ik there isnt one solution so give me an example

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

    what would an answer

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

    |dw:1444609359427:dw| (pretend the line is dashed)

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

    since this is a greater than symbol, I shade everything above this line

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

    |dw:1444609430391:dw|

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

    then I graph the other line

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

    |dw:1444609468639:dw|

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

    then I shade everything below this line

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

    |dw:1444609493176:dw|

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

    the part where the shading overlaps is the solution set

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

    |dw:1444609532236:dw|

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

    so, if it asks for a solution, you can pick any point that falls within that shaded area up there

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

    I think (1,5) falls within the shaded region, so that's one possible solution

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

    does that make things a bit more clear?

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

    how would you write the solution out tho

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

    you can't, there are an infinite number of solutions

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

    the best you can do is show them the graph and list out a few possible solutions

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you have a closed solution region, and you're only recording points with integer coordinates, then it is possible to list all of the solutions. Other than that, there would be infinitely many solutions and it is best to use a graph to show the solution set.

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

    Ok thank youuuuu.....

  24. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    In your case, the solution region isn't closed because it continues on forever in this direction |dw:1444609982769:dw|

  25. 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.