Warm Up Exercise… Create a stem and leaf plot for the given data.

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Presentation transcript:

Warm Up Exercise… Create a stem and leaf plot for the given data. Then, calculate the mean, median, mode, and range. 15, 15, 9, 9, 20, 23, 7, 17, 6, 10

3.1 Inequalities and Their Graphs Concept – Unit 1 Objective: SWBAT identify solutions of inequalities, graph and write inequalities.

Quick Review 1. Name each inequality 2. Fill in the correct inequality a. 5 __ 7 b. 0 __ -3 c. -4 __ -1 d. -0.1 __ -0.01 3.Graph each number on the number line: a. 0 b. 4 c. -2 < > ≤ ≥ Less Than Greater Than Less Than or equal to Greater Than or equal to < > < <

Inequality Symbols OPEN CLOSE Reminder: Symbol Vocabulary Graphed OPEN CLOSE Reminder: “Less Than” has a L in italics, which looks like this < The “Equal To” part fills in the dot…

Open or Solid? Tell whether the following is an open dot or close dot: 1. x > 7 2. x - 1 ≤ 23 3. 5y < -3 4. -2x + 3 > -5 5. -8 ≥ -y – 4 OPEN CLOSE

Graphing Inequalities 6. Graph n > -2 7. Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥ -3

Writing an Inequality Write an inequality for each graph 10. x > 2 11. x ≤ 0 12. x ≥ 1 13. x < -3

Mental Math 14. Is each number a solution of x ≤ 7? a. 9 b. No Yes d. 0 No Yes No Yes

Identifying Solutions by Evaluating 16. Is each number a solution of 2 – 5x > 13? a. -4 b. 3 17. Is each number a solution of 6x – 3 > 10? a. 1 b. 2 c. 3 d. 4 Yes No No Yes

Define a variable. Write an inequality for each situation.