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

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Presentation transcript:

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

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

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

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

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

Solving Absolute Value Inequalities Remember: Less ThAND

Solving Absolute Value Inequalities Remember: GreatOR

Solving Absolute Value Inequalities

Solving Absolute Value Inequalities

More Practice 1)

More Practice 2)

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)

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