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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.
How many solutions does a linear inequality with two variables have?
Infinite.
An equation has one solution?
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
Why is a linear inequality is usefuln when there are many solutions?
The area in the inequality gives you choices. Like the number of pounds that an elevator can carry is anything less than its maximum.
What is a linear system with infinitely many solution?
It is a system in which the solution set is a straight line.
