1. Solving absolute value equations

2. Underlying Concept

3. Procedure for solving absolute value equations
Isolate the absolute value.
Split it into 2 problems where the inside of the absolute value is equal to plus or minus the other side.
Solve each equation.
Check your answers.

4. Let’s try it

5. Try these on you own

6. Absolute Value Inequalities
Page 3
Steps:
Get absolute value alone
Write two inequalities
Solve for the variable
Graph the solution set and write in proper form
#1:
Second inequality, you switch the inequality and negate the side opposite the absolute value symbol. Also, drop the absolute value symbol.
Now graph solution: on number line.
First inequality looks like original without absolute value symbol!
Determine:
Open or closed circles
Direction of line

7. Page 3
#4: OR

8. Page 3
#8:

9. Page 3
#14:

10. Page 3
#17: OR

11. Page 3
#21:
When dividing by a negative, you switch the inequality! OR