1. One-Step Inequalities
Chapter 3
Section 3.1

2. Objective
Students will transform inequalities in order to solve them. Students will also graph the inequality.

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

4. Concept
Opposite Operations Addition and Subtraction Multiplication and Division

5. Concept
When multiplying or dividing each side of the inequality by a negative number you reverse the direction of the sign.

6. -4 < 3 Multiply by 2 Multiply by -2
Example
-4 < 3 Multiply by 2 Multiply by -2

7. Concept
When graphing… < or > - open circle < or > - closed circle

8. Concept
Always put the variable first in the inequality. When the variable comes first, the direction the inequality sign is pointing is the direction you shade when graphing.

9. Example
x – 9 < 2

10. Example
3 + x < 7

11. Example
-8x > 16

12. Example
x/3 > -5

13. Questions

14. Assignment
Worksheet