1. Several Transformations
Chapter 3
Section 3.2

2. Objective
Students will transform inequalities by using several transformations. Students will also graph the solution.

3. Concept
When solving inequalities that require several transformations you use the same rules as solving equations with several transformations. Use the opposite operation that you are given to get the variable alone on one side of the inequality sign.

4. Concept Steps to solving several transformation inequalities:
Distributive Property
Combine like terms
Opposite of addition or subtraction
Opposite of multiplication or division

5. Concept
When multiplying or dividing by a negative number you must flip the inequality sign. Also remember that the variable needs to come first in the inequality. If it does not, flip the entire inequality so the variable is first. Make sure inequality still reads the same once flipped.

6. < or > - open circle < or > - closed circle
Concept
< or > - open circle < or > - closed circle

7. Example
2 – 3x > 8

8. Example
2x – 4 + 5(5 + x) > 0

9. Example
2(3 – 2x) > 10 – 4x

10. Example
4x – (1 + x) < 2x + (1 + x)

11. Questions

12. Assignment
Worksheet