2.4 & 2.5 Absolute Value Inequalities and Equations

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Presentation transcript:

2.4 & 2.5 Absolute Value Inequalities and Equations Learning Goals Interpret complicated expressions by viewing one or more of their parts as a single entity Create equations and inequalities in one variable and use them to solve problems

absolute value: distance from zero on a number line Ex 1

Ex 2

extraneous solution: a solution to a transformed equation but not the original equation

Ex 4

Ex 5

Absolute Value Inequalities distance within 5 units in both directions distance outside 5 units in both directions

Ex 6

Ex 7

Ex 8

Ex 9 Ex 10

Ex 11 Ex 12 Write each compound inequality as an absolute value inequality. Ex 11 Ex 12

Absolute Value Statements symbols definition graph distance from x to 0 is a units distance from x to 0 is less than a units distance from x to 0 is greater than a units