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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 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 Less Than Greater Than Less Than or equal to Greater Than or equal to < > < < 0
Inequality Symbols Symbol Vocabulary Graphed OPEN CLOSE Reminder: • 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 OPEN OPEN CLOSE
Graphing Inequalities 6. Graph n > -2 7. Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥ -3 0 0 0 0
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
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
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
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
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