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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 system of linear equations in three variables have?
1
How many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
How many solutions can a system of linear equations with two variables?
None, one or infinitely many.
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.
