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Find the set of integers that is greater than 2 and less than 7 Find the set of integers that is greater than 2 or less than 7 How do the use of the words.

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Presentation on theme: "Find the set of integers that is greater than 2 and less than 7 Find the set of integers that is greater than 2 or less than 7 How do the use of the words."— Presentation transcript:

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2 Find the set of integers that is greater than 2 and less than 7 Find the set of integers that is greater than 2 or less than 7 How do the use of the words and or or change the way a solution set is determined?

3 Compound Inequality TWO inequalities joined by the word AND or the word OR.

4 The graph of the inequality with the word and contains the INTERSECTION of the graphs of the two inequalities that form the compound inequality. Graph the solution set of x 5

5 You can write a compound inequality involving the word and as a single inequality: You can read this as x is BETWEEN 5 and 10 INCLUSIVE. This means that the solutions INCLUDE both 5 and 10. The graph of a compound inequality with the word or contains THE UNION of the two inequalities that form the compound inequality.

6 Graph the solution set of x 8

7 Examples: What compound inequality represents the following phrase? Graph the solutions. 1) all real numbers that are greater than 1 and less than 5: 2) all real numbers that are less than 10 or greater than 15 :

8 Writing and Solving a Compound Inequality: Writing and solving an inequality using the word and: Work on all three parts of the inequality at the SAME time.

9 Example: What are the solutions of -2 < x +2 < 5 ? Graph the solutions.

10 To solve a compound inequality involving or, you must solve BOTH the two inequalities that form the compound inequality. Example: What are the solutions toor Graph the solutions.

11 Write a compound inequality that each graph could represent.

12 Homework : Section 3.6pages 220-221 #’s 8-30 EVEN


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