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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 =
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.
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 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.
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.
