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When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
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.
When is it possible for a system of two linear inequalities to have no solution?
A system of two linear inequalities can have no solution when the inequalities represent parallel lines that do not intersect. This occurs when the lines have the same slope but different y-intercepts. In such cases, there is no set of values that can satisfy both inequalities simultaneously, resulting in an empty solution set.
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
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
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
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.
When is it possible for a system of two linear inequalities to have no solution?
A system of two linear inequalities can have no solution when the inequalities represent parallel lines that do not intersect. This occurs when the lines have the same slope but different y-intercepts. In such cases, there is no set of values that can satisfy both inequalities simultaneously, resulting in an empty solution set.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
Inequalities containing two inequality symbols are called what?
Linear inequalities in one variable
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
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
What are linear inequalities in two variables?
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
What is two or more linear inequalities using the same variable?
thug life it
How many solutions does two linear inequalities have?
None, one or infinitely many
