Algebra 1
posted by Austin .
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?

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. 
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
xy > 2
or a bounded one, as in
x+y > 3
xy > 2
3x+y < 10
a visit to wolframalpha.com will let you play around with some. For the last example, just type
solve x+y > 3, xy > 2, 3x+y < 10
and it will show the solution sets and graph the region. 
Do the equations x = 4y + 1 and x = 4y – 1 have the same solution?
Respond to this Question
Similar Questions

math/algebra
I need help solving the solution sets for linear inequalities: 1.3xy<=6 x>=1 y<=3 
Systems of Inequalities8th 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 … 
Math
Explain why the vertices of a solution region are important when using linear systems of inequalities for optimization problems ? 
math
How many solution sets do systems of linear inequalities have? 
Algebra 1A
How many solution sets do systems of linear inequalities have? 
math  inequalities
How many integers are common to the solution sets of both inequalities? 
Algebra 1 (Reiny)
Will you please explain the steps I must take in order to graph these linear inequalities? 
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 … 
Algebra 1a
I am working with Systems of Linear Inequalities and need to find the point where the lines meet to label my graph. 9x3y<27 and 8y+9y>=72 Thanks! 
algebramath
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?