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.

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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.

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!

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.

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.