Inequalities Systems Lesson

Multiple Choice

Which graph best represents this system of equations and its solution?

$$8x\ -\ 4y\ =\ -16$$  

$$3x\ +\ 15y\ =\ -6$$  

• Solution: (2, 0)

• Solution: (-2, 0)

• Solution: (0, -2)

• Solution: (0, 2)

​Inequalities Systems Lesson

​November 29 - A.3H

​A system of inequalities is a set of two or more inequalities with the same ____________.

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The solution set to a system of inequalities includes the set of ordered pairs that make all the inequalities in the system _______.

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When graphing a system of inequalities, the solution set is represented by the intersection or the overlap of the _________ regions.

​Are these solutions?

(-3, 4) (2, 5) 

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Multiple Select

Select all that are solutions?

• None

• (2, 4)

• (-3, 5)

​Are these solutions?

(2, 4) (-3, 5) 

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Multiple Select

Select all that are solutions?

• None

• (0, 0)

• (-3, -7)

​Are these solutions?

(0, 0) (-3, -7) 

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​Jim has over 40 contacts saved in his phone. The contacts are made up of friends and family. The number of contacts that are friends is at least two times the number of contacts that are family. If x represents family and y represents friends, the system below can be used to represent the situation. Represent the solution set by graphing the inequalities.

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