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3.1 Inequalities and Their Graphs

3.1 Inequalities and Their Graphs. Today you will learn to write and graph 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.

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3.1 Inequalities and Their Graphs

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  1. 3.1 Inequalities and Their Graphs Today you will learn to write and graph inequalities.

  2. 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 < > < < 0

  3. Inequality Symbols Symbol Vocabulary Graphed OPEN CLOSE Reminder: • The “Equal To” part fills in the dot…

  4. 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 OPEN OPEN CLOSE

  5. Graphing Inequalities 6. Graph n > -2 7. Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥ -3 0 0 0 0

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

  7. Writing Inequalities Write an inequality for each verbal phrase 14. b is less than or equal to -1 b ≤ -1 15. 2 more than k is greater than -3 k + 2 > -3 16. The product of g and 2 is less than 6. 2g < 6

  8. Mental Math 17. Is each number a solution of x ≤ 7? a. 9 b. 18. Is each number a solution of x > -4.1? a. -5 b. -4.1 c. 8 d. 0 No Yes No No Yes Yes

  9. Think-Pair-ShareIdentifying Solutions by Evaluating 19. Is each number a solution of 2 – 5x > 13? a. -4 b. 3 20. Is each number a solution of 6x – 3 > 10? a. 1 b. 2 c. 3 d. 4 Yes No No No Yes Yes

  10. Think-Pair-Share Write an inequality to model each situation. • The school auditorium can seat at most 1200 people. • For a certain swim meet, a competitor must swim faster than 23 seconds to qualify. Write each inequality in words, then graph. 3. -2 ≤ n 4. x > 7 5. 16 < y

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