1.  Objectives: To solve and graph inequalities containing the word and To solve and graph inequalities containing the word or Section 3 – 6 Compound Inequalities

2.   Consists of two distinct inequalities joined by the word and or the word or Compound Inequality:

3.  AND vs OR

4.  Compound Inequalities Involving the word AND:

5.  What compound inequality represents the phrase? Graph the solutions. a)All real numbers that are greater than -2 and less than 6 Problem # 1 Writing a Compound Inequality

6.  What compound inequality represents the phrase? Graph the solutions. b)All real numbers that are less than 0 or greater than or equal to 5 Problem # 1 Writing a Compound Inequality

7.  What compound inequality represents the phrase? Graph the solutions. Problem # 1 Writing a Compound Inequality c) All real numbers that are greater than 1 and less than 5 d) All real numbers that are less than or equal to 10 or greater than 15

8.  Write a compound inequality that represents the phrase. Graph the solutions. 1.All real numbers that are greater than or equal to - 4 and less than 6 2.All real numbers that are less than or equal to 2.5 or greater than 6 Problem # 1 Got it?

9.  a)What are the solutions of - 3 ≤ m – 4 < -1 ? Graph the solutions. Problem # 2 Solving a Compound Inequality Involving And

10.  b)What are the solutions of - 2 < 3y – 4 < 14 ? Graph the solutions. Problem # 2 Solving a Compound Inequality Involving And

11.  What are the solutions of -2 < x + 2 ≤ 5? Graph the solutions. Problem # 2 Got it?

12.  simultaneously Solving AND compound inequalities simultaneously. -2 < x + 2 ≤ 5

13.  a) To earn a B in your algebra course, you must achieve an unrounded test average between 84 and 86, inclusive. You scored 86, 85, and 80 on the first three tests of the marking period. What possible scores can you earn on the fourth and final test to earn a B for the marking period? Problem # 3 Writing & Solving a Compound Inequality

14.  b) To win the recycling contest, you must collect between 83 and 87 pop tabs each week, inclusive. Suppose you collected 82, 86, and 84 pop tabs during the first three weeks of the competition. What are the possible numbers of pop tabs you can collect during the fourth and final week in order to win the recycling contest? Problem # 3 Writing & Solving a Compound Inequality

15.  To earn an A in your algebra course, you must achieve an unrounded test average between 94 and 96, inclusive. You scored 95, 90, and 99 on the first three tests of the marking period. What possible scores can you earn on the fourth and final test to earn an A for the marking period? Problem # 3 Got it?

16.   Textbook Page 204; #3, 9 – 16 All Homework Assignment

17.  Homework Answers

18.  Compound Inequalities Involving the word OR:

19.  a) What are the solutions of 3t + 2 < -7 or -4t + 5 < 1 ? Graph the solutions. Problem # 4 Solving a Compound Inequality Involving OR

20.  b) What are the solutions of -2y + 7 < 1 or 4y + 3 ≤ -5 ? Graph the solutions. Problem # 4 Solving a Compound Inequality Involving OR

21.  What are the solutions of 2n – 1 < -3 or - 3n + 2 < - 4 ? Graph the solutions. Problem # 4 Got it?

22.   Used to describe an interval on the number line, using three special symbols:  Parenthesis:  Brackets:  Infinity: Interval Notation:

23.  a) What is the graph of [-4, 6)? How do you write [-4, 6) as an inequality? Problem # 5 Using Interval Notation

24.  b) What is the graph of x ≤ -1 or x > 2? How do you write x ≤ -1 or x > 2 in interval notation? Problem # 5 Using Interval Notation

25.  b) What are the solutions of 9 + 5n ≤ 5n – 1? Problem # 5 Inequalities With Special Solutions

26.  1.What is the graph of (-2, 7]? How do you write (-2, 7] as an inequality? 2.What is the graph of y > 7? How do you write y > 7 in interval notation? Problem # 5 Got it?

27.   3 – 6 Worksheet; Evens Homework Assignment