AA2 notes 3.2
solving systems of inequalities
System of linear inequalities: a set of two or more linear inequalities with the same variables.
Solution of a system of linear inequalities: the solution to a system of inequalities is an infinite set of points that solve all inequalities in the system.The region is shaded on a graph.
Graph each system of inequalities.
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Graph each system of inequalities.
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Graph each system of inequalities.
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4) Write a system of inequalities for the graph shown.
5) Write a system of inequalities for the points in the second quadrant.
6) Lauren wants to create red and gold plates for the art shown. She wants to make no more than a total of 70 plates. It costs her $50 to rent the studio and $2 to produce each red plate and $3 to produce each gold plate, and she wants to spend no more than $215.
Write and graph a system of inequalities that can be used to determine the number of each plate that Lauren can make and yet stay within her budget.
7) Mr. and Mrs. Bastian are taking their children on a history­based vacation across the country. They plan to travel a maximum of 10 hours per day. Mr. Bastian wants to drive less than 8 hours, and Mrs. Bastian wants to drive no more than 4 hours. Write and graph a system of inequalities to represent the situation. 8) Jack and Diann are getting married and are planning seating arrangements for the reception. They have 8 and 10 person tables available for the event. Eight­person tables can be rented for $50 and 10­person tables can be rented for $75 and they want to spend less than $2100. They want to rent at least 35 tables for the room. Write and graph a system of inequalities to show their choices.