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system of inequalities

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1) For the equations, you are learning several methods of finding the solution to a system. Is there a difference in the result you get using an algebraic method and what you get using a graphical method? Why or why not? How does the graph of two linear equations relate to the number of solutions to the system? How could you determine whether or not two lines are parallel by looking at the equations for the lines? By looking at two linear equations, how can you tell that the corresponding lines are parallel?

2) Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.

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A system of inequalities is reinforced.

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