Inequalities and Their Graphs Objective: graph and determine solutions of inequalities.

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Presentation transcript:

Inequalities and Their Graphs Objective: graph and determine solutions of inequalities.

Quick Review 1. Name each inequality 2. Fill in the correct inequality a. 5 __ 7b. 0 __ -3 c. -4 __ -1d __ Graph each number on the number line: a. 0b. 4c. -2 <>≤≥ 0 Less ThanGreater Than Less Than or equal to Greater Than or equal to < < > <

Inequality Symbols Reminder: “Less Than” has a L in italics (that’s tripping), which looks like this < The “Equal To” part fills in the dot… SymbolVocabularyGraphed OPEN CLOSE

Open or Solid? Tell whether the following is an open dot or close dot: 1. x > 7 2. x - 1 ≤ y < x + 3 > ≥ -y – 4 OPEN CLOSE OPEN CLOSE

Graphing Inequalities 6. Graph n > Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥

Writing an Inequality Write an inequality for each graph 10. x > x ≤ x ≥ x <

Mental Math 14. Is each number a solution of x ≤ 7? a. 9 b. 15. Is each number a solution of x > -4.1? a. -5 b c. 8 d. 0 No Yes No Yes

Identifying Solutions by Evaluating 16. Is each number a solution of 2 – 5x > 13? a. -4 b Is each number a solution of 6x – 3 > 10? a. 1 b. 2 c. 3 d. 4 Yes No Yes

1) Graph the solution set of x < 3. When you have, use an open dot! o

4) Which inequality would have a closed dot on the number line? 1. > 2. < 3. ≥ 4. ≠ Answer Now

5) Which inequality does NOT use an open dot on the number line? 1. ≤ 2. < 3. > 4. ≠ Answer Now

9) What is the graph of 7 ≤ m? o 786 o 786 ● ● Answer Now

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

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

8 Notice: when variable is on left side, sign shows direction of solution Color in circle

Try this one on your own

12

On your Own

12

On your Own

2

Answer 1 through 5 1.

On your Own 2.

On your Own 3.

On your Own 4.

On your Own 5.

Answer 6 through b ≤ -7

7. a > 8 On your Own

8. q ≥ -5 On your Own

9. s < 14 On your Own

10. m ≥ 8 On your Own