116 graphing linear inequalities - Math 3 116 Graphing...

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Math 3 – 116: Graphing Linear Inequalities Name: ____________________________ 1 We’ve been working a lot with systems of linear equations. Our solutions to these systems represented the only pair of values that satisfied both of the equations in the system. For example, remember our initial example about the number of adults and children that went to the fair one day. One of the equations in the system was A + C = 2200. Now, there are a lot of possible combinations for A and C. There could have been only 1 adult and 2199 children at the fair that day, or any other combination of numbers that adds to 2200. But the solution to the system was the combination of values for A and C that also made 4A + 1.5C = 5050 a true equation. This happened to be 700 adults and 1500 children. This week, we will be investigating systems of linear inequalities . These are different because instead of having only one solution, a system of linear inequalities has many solutions. The easiest way to show these many solutions is almost always graphically, so let’s learn how to

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