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Precisely because of the inequality! Take the simplest case, of an equation or inequality that is already solved. For the equation, for example, take:
x = 10
The equality means that x has to be 10, it can't be anything else. On the other hand, a similar inequality:
x > 10
means that ANY number greater than 10 will do.
For the sake of completeness, please note that more complicated equations can actually have more than one solution, too. For example: x2 = 25 has the solutions 5 and -5, while sin x = 0 has infinitely many solutions, since the sine function is periodic.
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Can a system of equations have more than two inequalities?
A system of equations can have any number of inequalities.
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.
What are the uses of linear inequalities?
In question and answer logic answers are given and if they fall in an area bounded by the inequality then it is a good answer. After graphing three or more inequalities the vertexes are the possible maxima of the system of equations.
What is a set of equations in the same variables?
It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
Can a system of equations have more than two inequalities?
A system of equations can have any number of inequalities.
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.
What are inequalites?
Inequalities are equations where one side is more or less (or "more or equal" or "less or equal") to the other side.
What are the uses of linear inequalities?
In question and answer logic answers are given and if they fall in an area bounded by the inequality then it is a good answer. After graphing three or more inequalities the vertexes are the possible maxima of the system of equations.
What is the consistent equation in mathematics?
Consistent equations are two or more equations that have the same solution.
What is a set of equations in the same variables?
It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
How do the properties help solve equations and inequalities?
The answer depends on which properties you have in mind. And since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
Do equations with different slopes and different y-intercepts have a solution?
TWO linear equations with different slopes intersect in one point, regardlessof their y-intercepts. That point is the solution of the pair.However, this does not mean that three (or more) equations in two variables, even if they meet the above conditions, have a solution.
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.
Do all rational equations have a single solution?
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
