1. 1.6 Absolute Value Learning Goals
write and solve equations and inequalities involving absolute value

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

3. Ex 2

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

5. Ex 4

6. Ex 5

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

8. Ex 6

9. Ex 7

10. Ex 8

11. Ex 9
Ex 10

12. 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.

13. 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