Inequalities and their Graphs

Objective: To write and graph simple inequalities with one variable

Inequalities and their Graphs What is a good definition for Inequality? An inequality is a statement that two expressions are not equal

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice open circles < less than > greater than

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice colored in circles ≤ less than or equal to ≥ greater than or equal to

Inequalities and their Graphs Let’s work a few together 3 Notice: when variable is on left side, sign shows direction of solution

Inequalities and their Graphs Let’s work a few together 7 Notice: when variable is on left side, sign shows direction of solution What #s could I substitute for x To make this inequality true? Any # less than 7

Inequalities and their Graphs Let’s work a few together 2 Notice: when variable is on left side, sign shows direction of solution Color in circle Again, what #s would be true? True #s = 2, 1, 0…can you think of other #s?

Inequalities and their Graphs Let’s work a few together 8 Notice: when variable is on left side, sign shows direction of solution Color in circle

Try this one on the board

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Try this one on the board

12

Try this one on the board

2

Students will need to draw 1 number line on a sheet of paper like below to answer the next 5 questions.

Answer 1 through 5 1.

On your Own 2.

On your Own 3.

On your Own 4.

On your Own 5.

Answers: 1 through

Now, write down at least 3 numbers that would be “true” for the inequalities that you just graphed for #1-5 (write this below each graph) Let’s do #1 together: 1) b ≥ 6 Three #s that would be true are~ 6, 7, and 10 (any # 6 or higher) Now, you try #2-5 on your own

Before we check our answers, compare your answers to another person’s paper. Ask for students to share their responses and to explain how they know if those #s are true for that inequality

Answers will vary… 3 possible answers are included below True #s: 6, 7, 10 True #s: 9, 4, 0 Why is 10 not an option True #s: 16, 25, 100 True #s: 20, 13, -7 True #s: 12, 10, 6

Practice/Homework Come up with 5 inequalities on your own ~ 1) You must write the inequality 2) Graph the inequality 3) Write 3 #s that would be true for the inequality

Graphing Inequalities Excellent Job !!! Well Done