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The area in the inequality gives you choices. Like the number of pounds that an elevator can carry is anything less than its maximum.

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Q: Why is a linear inequality is usefuln when there are many solutions?
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Related questions

How many solutions does a linear inequality with two variables have?

Infinite.


How many solutions does a linear inequality in two variables have?

Infinitely many.


How many solutions are there to a linear inequality?

Infinitely many. The solution space is part of a plane.


How many solution does a linear inequality in one variable have?

Inequalities tend to have infinitely many solutions.


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 an inequality have?

2


Does an open sentence have to be an equation?

No, it can be an inequality, such as x+5>2. An inequality usually has (infinitely) many solutions.


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 8x 478(x 5)?

There is no equation (or inequality) in the question and so there cannot be any solutions.


How many real solutions does -42 have?

None. -42 is a single integer, not an equation nor an inequality. So there are no solutions.


What are inifintly equations?

Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.


Why does an inequality have 2 solutions?

An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.