1. Solving Absolute Value Equations
The absolute value of x is defined as
Example 1

2. Example 2

3. Example 3
Solve:
Since
and
the solution is
The process used above leads to our method for solving absolute value equations.

4. To solve the absolute value equation
1) Write
2) Solve the resulting equations.

5. Example 4
Solve:
First, add 3 to both sides to get the equation in the form of

6. Write the two equations and solve each.

7. Example 5
Now solve the same problem again, only this time use the graphing method.
Move all terms to the left hand side.
Let y1 equal the left hand side.

8. Enter the expression for y1 into the calculator
Press Zoom-6 to graph
Use Trace to find the
x-intercepts

9. Press Trace and then enter 3.
Since the y-value is 0, (3,0) is an x-intercept, and 3 is a solution to the equation.
Now repeat the process with x = 4, the intercept on the right.
Again, the y-value is 0.
The solutions to the equation are x = 3,4

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END OF PRESENTATION
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