Posted by Kim on Wednesday, June 26, 2013 at 4:00pm.
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? If so what are some examples?

Algebra 1A  Steve, Wednesday, June 26, 2013 at 4:15pm
Solution sets are regions which lie on one side of each line.
If the lines are parallel, the solution set will either be
between the lines (as in 3 < x < 5)
a single region (as in x>2 and x>5)
empty (as in x<4 and x>6)
Note that since we are dealing with a set of inequalities, they are connected with AND, so they must all be satisfied.
If the lines are not parallel, then they intersect. The solution set will be everything in one of the regions with the two lines as boundary.

Algebra 1A  Steve, Wednesday, June 26, 2013 at 4:16pm
I guess the other possibility is that the lines are identical, so the solution set is everything on one side of the line.
Answer This Question
Related Questions
 Algebra 1  How many solution sets do systems of linear inequalities have? Do ...
 math  How many solution sets do systems of linear inequalities have? Do ...
 Algebra 1 (Reiny)  I desperately need guidance. Not only do I not know how to ...
 Systems of Inequalities8th Grade Algebra  Graph the equation. The graph will ...
 Algebra 1 (Reiny)  Will you please explain the steps I must take in order to ...
 Algebra 1a  I am working with Systems of Linear Inequalities and need to find ...
 math/algebra  I need help solving the solution sets for linear inequalities: 1....
 math  inequalities  How many integers are common to the solution sets of both ...
 Math  Explain why the vertices of a solution region are important when using ...
 Math  Solve the following systems of linear inequalities x+2y is less than or ...
More Related Questions