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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.
Is it possible for a system of two linear inequalities to have exactly one solution?
Yes. As a simple example, consider X ≥ 1 and x ≤ 1. They have the one solution: x = 1
True or false a system of two linear inequalities has either no points or infinity many points in a solution?
its true because they have all have the same linear pair It's actually false
What system of two linear equations in two variables that has exactly one solution?
An independent system has one solution.
What is the situation when two linear inequalities have no solution?
The answer for one inequality will NOT anwer the other. For example, you can not be younger and oilder than your brother at the same time.
