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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 a linear equation of two variables has an infinite number of solutions?

A linear equation in two variables represents a straight line on a Cartesian plane. Each point on this line corresponds to a unique pair of values for the two variables that satisfy the equation. Since there are infinitely many points on a line, there are also infinitely many solutions to the equation. Thus, any linear equation in two variables has an infinite number of 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.


Can linear equations have more than one solutions?

No, a linear equation in two variables typically has one unique solution, which represents the intersection point of two lines on a graph. However, if the equation represents the same line (as in infinitely many solutions) or if it is inconsistent (no solutions), then the type of solutions can vary. In general, a single linear equation corresponds to either one solution, no solutions, or infinitely many solutions when considering the same line.


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.