How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
A solution to a linear inequality in two variables is an ordered
pair (x, y) that makes the inequality a true statement. The
solution set is the set of all solutions to the inequality. The
solution set to an inequality in two variables is typically a
region in the xy-plane, which means that there are infinitely many
solutions.
Sometimes a solution set must satisfy two inequalities in a
system of linear inequalities in two variables. If it does not
satisfy both inequalities then it is not a solution.