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Common Core Algebra Unit 9: Linear Inequalities 1/13/17Lesson 2: Systems of Linear InequalitiesObjective: SWBAT graph linear inequalities and determine the solution set.
Do Now: Over the weekend, Ms. Richards and Ms. Hanna were grading quizzes. Below are the responses we came across for one of the questions.
Question: Graph the inequality .
Student A: Student B:
Analyze each response. Which student was correct? ____________________
On the lines below, explain the mistakes the incorrect student made.
________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
Notes:
A system of linear inequalities is a set of ____________________________ linear inequalities containing two
or more variables. The solutions of a system of linear inequalities consist of ALL the
________________________________ pairs that satisfy all the linear inequalities in the system.
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Graphing Systems of Inequalities1. Graph the first inequality (use one color).
a. Slope Intercept formb. Dashed or solid line?c. Shade Up or Down?
2. Graph the second inequality (use a second color).a. Slope Intercept formb. Dashed or solid line?c. Shade Up or Down?
3. All the points where the colors overlap ARE solutions!
Partner Exploration:Graph the Linear inequalities below and then answer the following questions.Step 1: Graph the inequality y+x ³3 on the graph below using one color.
Step 2: Graph the inequality 5 x−2 y>10 on the graph below using a different color.
Step 3: Make sure each inequality is labeled and shaded correctly!
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Check for Understanding:Solve the system of inequalities and label the solution set “S”.
Turn and Talk:Which of the following points is a solution to the system of inequalities shown below? Show the work that leads to your answer.
Explain the strategy you used to solve this problem below.__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
______________________________________________________________________________________
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Check for Understanding:
Test Prep:
Hint: Plug in the x and y values
Lesson Summary:We can have systems of inequalities as well as systems of equations (equalities). The definition of solving a
system still holds: we have to find all _________ that make all inequalities true.
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Name ___________________________ Exit SlipCommon Core Algebra Unit 9: Linear Inequalities 1/13/17Lesson 2: Systems of Linear InequalitiesObjective: SWBAT graph linear inequalities and determine the solution set.
Name ___________________________ Exit SlipCommon Core Algebra Unit 9: Linear Inequalities 1/13/17Lesson 2: Systems of Linear InequalitiesObjective: SWBAT graph linear inequalities and determine the solution set.