 ## Tutoring on Solving Systems of Linear Inequalities

Learning Objectives:

#### Understand to Solve Systems of Linear Inequalities.

Math Tutoring on Solving Systems of Linear Inequalities

system of inequalities is a set of inequalities which includes multiple variables and solved with an exact specification of the values of all variables that satisfies all of the inequalities simultaneously. A system of inequalities can be solved either graphically or non-graphically.
The solution to a system of linear inequalities
consists of the region for which any point x, satisfy the linear equalities of the system at the same time. So the steps to graphing the solution to a system of linear inequalities are as follows.

Step one: Graph and shade the solution to the first linear inequalities.

Step two: Graph and shade the solution to the second linear equality on the same coordinate plane. And the region that is double shaded is the solution to the system. It should be mentioned, if the number of inequalities, n, in the system is more than 2, then we will look for the region shaded n times. So if it has three inequalities, you are looking for the region shaded three times and so on. And also, some systems may not have a solution.

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Hook Questions:

1.    What is the difference between the system of equalities and system of inequalities?

2.    Define the system of linear inequalities.

3.    What are the methods to solve the system of linear inequalities?

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