1. 4 minutes
Warm-Up
Graph. 1) 2) 3)

2. 2.6 Equations and Absolute Value
Objectives:
To solve equations involving absolute value

3. Absolute Values
The absolute value of a number is its distance from zero on the number line.
y = 3
or y = -3
To solve an equation of the form , where b is a positive number, solve the disjunction A = b or A = -b.

4. Example 1 Solve . x - 3 = 2 or x – 3 = -2 +3 +3 +3 +3 x = 5 x = 1
x = 5
x = 1
The solution set is {1,5}.

5. Example 2 Solve . 2x – 1 = 3 or 2x – 1 = -3 +1 +1 +1 +1 2x = 4 2x = -2
2x = 4
2x = -2
x = 2
x = -1
The solution set is {-1,2}.

6. Example 3
Solve
No Solution! An absolute value cannot be negative

7. Practice
Solve.

8. Example 4 Solve You need to isolate the part that is
Inside the absolute value-get it by itself

9. Example 5