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A.8 Interval Notation & Solving Inequalities Remember, with great power, comes great responsibility. -Uncle Ben.

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Presentation on theme: "A.8 Interval Notation & Solving Inequalities Remember, with great power, comes great responsibility. -Uncle Ben."— Presentation transcript:

1 A.8 Interval Notation & Solving Inequalities Remember, with great power, comes great responsibility. -Uncle Ben

2 Interval Notation : A closed interval consists of all real x such that : An open interval consists of all real x such that A half-open or half-closed interval consists of all real x such that : : The interval

3 Write the following inequalities in interval notation and graph on a number line. Interval Notation 1) 2) 3) 4)

4 Solving Linear Inequalities Recall that when you multiply or divide by a negative number, you must change the direction of the inequality. 1)

5 Linear Inequalities Practice Solve the following inequality. Write your answer in interval notation and graph on a number line. 3) 4) 1) 2)

6 Solving Absolute Value Inequalities 0 123456 -2-4-3-6-5 Remember: Less ThAND

7 Solving Absolute Value Inequalities 0 123456 -2-4-3-6-5 Remember: GreatOR

8 Solving Absolute Value Inequalities 0 123456 -2-4-3-6-5

9 Solving Absolute Value Inequalities 0 123456 -2-4-3-6-5

10 More Practice 1) 0 123456 -2-4-3-6-5

11 More Practice 2) 0 123456 -2-4-3-6-5

12 You guys should try some before I give you the HW, k? Solve, write your answer in interval notation, and graph! Absolute Value Inequality Practice 1) 2) 3)

13 A.8 Interval Notation & Solving Inequalities Remember, with great power, comes great responsibility. -Uncle Ben Homework#10 : p.1030 #77 – 99 Odd


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