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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.
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 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.
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.
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
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).
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.
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.
How are solving inequalities differ from solving equations?
Mainly, in the case of simple inequalities, you have to remember that when multiplying or dividing by a negative number, the direction of the inequality changes, for example, from greater-than to less-than or vice versa. Also, for more complicated inequalities, such as those that involve polynomials or absolute values, additional steps are required.
If you have a system of two equations with two unknowns and the graphs of the two equations are the same the system must have . A. more than 1 solution B. no solution C. at leas?
If the graphs of the two equations in a system are the same, the system must have A. more than 1 solution. This is because the two equations represent the same line, meaning every point on that line is a solution to the system. Therefore, there are infinitely many solutions.
