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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.
How many solutions does a linear inequality in two variables have?
Infinitely many.
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 linear equation in two variable have?
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
How many solutions are there to a linear inequality?
Infinitely many. The solution space is part of a plane.
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.
How many solutions does an inequality have?
2
What is the answer to -9x-7y equals -2?
There are infinitely many solutions. One linear equation in two variables cannot be solved to give a single answer.
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
