Lesson 7: 1-7 Solving Systems of Inequalities by Graphing

Why are inequalities used for for many real world situations?
Why is graphing a good way to show the solutions to a system of inequalities?
What symbol should be used to show that x can be o more than a number n? to show that it must be at least n?
If the solutions to a system of inequalities in a real world problem is an enclosed region of a graph, does it mean there must be an infinite number of solutions?

system of inequalities

A.REI.12 Graph the solutions to a linear inequality in two variables as a half plan and graph the solution set to a system of linear inequalities in two variables as the intersections of the corresponding half planes
A.CED.3 Represent constraints by equations or inequalities, and by systems of inequalities, and interpret solutions as viable or nonviable options in a modeling context

SAT questions related to slope: 8-3-13,6-3-1,5-4-7,8-3-19,7-4-17,1-3-6,3-4-8; systems: 4-3-16,1-3-18,1-3-9,2-3-2,8-3-18,6-4-11,7-3-3,1-3-11,7-4-11,1-4-19,8-3-10,2-4-29,2-3-20,3-3-9; writing equations: 5-4-11,4-3-8,8-4-7,1-3-12,7-3-19; inequalities: 5-4-13,7-4-5,4-4-19,8-3-6,1-4-28,5-3-7,6-3-14; graphing: 6-3-5; total unit: 2-3-9

The inequalities in the system are graphed on the same coordinate plane, and the ordered pairs that satisfy all of the inequalities in the system are in the region that is common to the inequalities. If the regions do not intersect, the solution is the empty set, and no solutions exists

Many weather conditions need to be met before a rocket can launch. The temperature must be greater than 35 and less than 100, and the wind speed cannot exceed 30 knots. A system of inequalities can be used to show these three conditions.

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If they understand, have them write a list of tips to help someone draw the graphs of the systems of inequalities and find the vertices easily and efficiently.

Use McGraw Hill Resources

Use McGraw Hill Resources.