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Interval Notation Interval Notation includes the use of three special symbols. ParenthesisBracketsInfinity Indicates the interval’s endpoints are not.

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Presentation on theme: "Interval Notation Interval Notation includes the use of three special symbols. ParenthesisBracketsInfinity Indicates the interval’s endpoints are not."— Presentation transcript:

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2 Interval Notation Interval Notation includes the use of three special symbols. ParenthesisBracketsInfinity Indicates the interval’s endpoints are not included. That’s like an open circle. Indicates the interval’s endpoints are included. That’s like a closed circle. Indicates the interval continues forever in a negative or positive direction. That’s like an arrow.

3 General Rules for Interval Notation Interval Notation Inequality Graph -3 5 5 5 -3 -3 5

4 Working with Interval Notation Write each interval as an inequality and graph the solution. 4 9 -11 -2 1 8 6 111 7

5 More Working with Interval Notation Write each inequality in interval notation & graph the solution. 3 12 6 -7 -1 13 5 12 -8 -2

6 Homework Page 204 - 205: 23 - 30 All Questions

7 Compound Inequalities A Compound Inequality consists of two distinct inequalities joined by the word and or the word or. 3 9 3 9 The graph of a compound inequality with the word and contains the overlap of the two inequalities that form the compound inequality. The graph of a compound inequality with the word or contains each graph of the two inequalities that form the compound inequality. 5 11 5 11 That was easy So…and means between and or means split.

8 Writing Compound Inequalities Write a compound inequality for each situation & graph the solution. All real numbers that are greater than -2 and less than 6 -2 6 All real numbers that are greater than or equal to 7 and less than or equal to 19 7 19 All real numbers that are greater than or equal to -13 and less than -8 -13 -8 I’d like to push the easy button now.

9 More Writing Compound Inequalities Write a compound inequality for each situation & graph the solution. All real numbers that are less than 3 or greater than 14 3 14 All real numbers that are less than 6 or greater than or equal to 17 6 17 All real numbers that are less than 0 or greater than 4 0 4 Quiero empujar el boton de facil.

10 Even More Writing Compound Inequalities Write a compound inequality for each situation & graph the solution. During the month of August the low temperature was 83 degrees and the high temperature was 94 degrees. 83 94 The circumference of a large pizza must be between 41.5 inches and 44 inches inclusive. 41.5 44 That was easy Asi de facil

11 Writing Compound Inequalities from a Graph Write the compound inequality represented by each graph. 13 24 -15 -10 0 18 2 8 -1 6 3 16 -12 -7 That was easy Remember…and means between and or means split.

12 Homework Page 204: 9, 10 Page 213: 88, 89 Page 225: 48 Page 227: 16, 17


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