1.6 Absolute Value Learning Goals

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Presentation transcript:

1.6 Absolute Value Learning Goals write and solve equations and inequalities involving absolute value

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 Two friends are hiking in Death Valley National Park. Their elevation ranges from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie Point. Write an absolute value inequality to represent the situation. Let x represent their elevation.

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