Algebra 1

posted by .

How many solution sets do systems of linear inequalities have?
Do solutions to systems of linear inequalities need to satisfy both inequalities?
In what case might they not?

  • Algebra 1 -

    how many solution sets? from zero to the degree of the equation.

    do they have to satisfy both? Yes.

    In what case might they not? They have to satisfy both, or it is not a solution.

  • Algebra 1 -

    by definition, a solution set must satisfy all of the inequalities. Otherwise, it's not a solution.

    The number of solution sets depends on the particular problem. There may be none at all, as in

    x+y > 6
    x+y < 0

    Or there may be an unbounded one, as in

    x+y > 3
    x-y > 2

    or a bounded one, as in

    x+y > 3
    x-y > 2
    3x+y < 10

    a visit to will let you play around with some. For the last example, just type

    solve x+y > 3, x-y > 2, 3x+y < 10

    and it will show the solution sets and graph the region.

  • Algebra 1 -

    Do the equations x = 4y + 1 and x = 4y – 1 have the same solution?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math/algebra

    I need help solving the solution sets for linear inequalities: 1.3x-y<=6 x>=1 y<=3
  2. Systems of Inequalities-8th Grade Algebra

    Graph the equation. The graph will divide the coordinate plane into four reqions. Write a system of inequalities that describe each region. Labe the region with these inequalities. 1) y = x - 3 y = 9 - x I already graphed it, I only …
  3. Math

    Explain why the vertices of a solution region are important when using linear systems of inequalities for optimization problems ?
  4. math

    How many solution sets do systems of linear inequalities have?
  5. Algebra 1A

    How many solution sets do systems of linear inequalities have?
  6. math - inequalities

    How many integers are common to the solution sets of both inequalities?
  7. Algebra 1 (Reiny)

    Will you please explain the steps I must take in order to graph these linear inequalities?
  8. Algebra 1 (Reiny)

    I desperately need guidance. Not only do I not know how to graph these systems of linear inequalities, but I also do not understand the concept whatsoever. I have watched several videos regarding the subject, but I didn't retain anything …
  9. Algebra 1a

    I am working with Systems of Linear Inequalities and need to find the point where the lines meet to label my graph. -9x-3y<27 and 8y+9y>=72 Thanks!
  10. algebra-math

    Create a system of linear equations. Explain the steps for solving a system of linear inequalities. Make a system of linear inequalities problem. Please help me with this?

More Similar Questions