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That's not an inequality; an inequality needs a "greater than" or a "less than" sign. Those must have gotten lost when you typed the title. Anyway, basically you are supposed to replace the numbers one by one in the inequality, do the calculations, and see whether the resulting statement is true or not.

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Q: Which numbers in the set 2345 are the solutions to the inequality 16 3x 5?
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What is the set of all numbers that make the inequality true?

It is the solution set for that particular inequality.


How is solving an inequality different from solving an equation?

In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.


What is a set of numbers that makes the equation or inequality true?

It is the solution set.


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.


The solutions to a linear inequality are the points in the plane that make the inequality true?

Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.


Can a quadratic inequality have a solution set that is all real numbers?

Yes. Consider x2 ≥ 0


How is the solution in a system of inequalities determine?

An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.


Definition of a set in algebra?

a set is defined as a collection of objects. In algebra, it is usually a collection of numbers and often a collection of solutions.


How many soloutions does an inequality have?

Quite often, it has infinitely many solutions. For example: x > 5 Any number greater than 5 will work here. It need not even be a whole number. It is also possible for an equation involving inequalities to have one or no solution. For instance: x squared < 0 Has zero solutions (at least, in the set of real numbers).


What is the solution set for 2x2 plus 2x plus 1?

There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.


What is the solution set for the inequality x less than w?

This can't be written any simpler. Any "x" that is smaller than "x" will be part of the solution set. Obviously there are infinitely many solutions.


In a nonlinear inequality which region represents the set of points that satisfy the inequality?

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