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How are equations and inequalities different?
Equations have and can only have a = Inequalities have <, >, greater than or equal to, less than or equal to, or =
What is the system of equations?
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.
Is it possible to have a system of equations that has more than one solution?
Yes, a system of equations can have more than one solution if the equations represent the same line or plane in a geometric sense. In such cases, there are infinitely many solutions that satisfy all equations simultaneously. This typically occurs in systems of linear equations where the equations are dependent. Conversely, if the equations are independent, the system will either have a unique solution or no solution at all.
Can equation and inequality have the same solution?
No, inequalities have more than, less then, at least, or no more than signs. Equations just have equal signs. An inequality answer can't be written as just a number it has to have a sign with it.
Why is it important to know various techniques for solving systems of equations and inequalities?
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
How are equations and inequalities different?
Equations have and can only have a = Inequalities have <, >, greater than or equal to, less than or equal to, or =
A system of inequalities cannot involve more than two inequalities?
false
How are linear inequalitys differant from linear equations?
Inequalities have greater than, less than, greater than or equal to, or less than or equal to signs. Equations have an equal sign.
What is the system of equations?
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.
Is it possible to have a system of equations that has more than one solution?
Yes, a system of equations can have more than one solution if the equations represent the same line or plane in a geometric sense. In such cases, there are infinitely many solutions that satisfy all equations simultaneously. This typically occurs in systems of linear equations where the equations are dependent. Conversely, if the equations are independent, the system will either have a unique solution or no solution at all.
Can equation and inequality have the same solution?
No, inequalities have more than, less then, at least, or no more than signs. Equations just have equal signs. An inequality answer can't be written as just a number it has to have a sign with it.
Why is it important to know various techniques for solving systems of equations and inequalities?
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
What is the difference between equality and inequality?
equality does not change signs inequalities do for greater than or less than equations
What is a combination of more than one inequality?
A combination of more than one inequality is known as a system of inequalities. This system consists of two or more inequalities that are considered together, and the solution is typically the set of values that satisfy all the inequalities simultaneously. Graphically, this can be represented as the overlapping region of the graphs of the individual inequalities. Systems of inequalities are often used in optimization problems and to describe constraints in various fields such as mathematics, economics, and engineering.
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
In algebra what does it mean if a system is independent?
this means you have no more than 5 solutions in a system of equations.
What is the name for equations with greater than or less than signs?
Equations with greater than or less than signs are called inequalities. They express a relationship where one quantity is larger or smaller than another, rather than equal. Common symbols used in inequalities include ">" for greater than, "<" for less than, "≥" for greater than or equal to, and "≤" for less than or equal to.
