1. Teacher Notes You do not have to use all examples.
If you feel the kids are getting it well, skip some of the examples and you can do the homework problems in class as guided practice and have them finish it at home.

2. Activating Prior Knowledge
Plot the following numbers on the number line and label. -7
𝟏𝟐 𝟑
1.2
𝟓 𝟐
−𝟕 𝟒

3. Solving Linear Inequalities in One Variable
AA1CC

4. Solutions
The solution to an inequality is the set of all numbers that make the statement true.

5. Big Ideas (Graphing)

6. Graphing Practice a. Graph −𝟐<𝒙
b.What inequality is the graph representing?

7. A few more: Write the Inequality the graph is representingC. D. E. F.

8. Big Ideas (Solving) Use same steps as if you were solving an equation.
While solving your inequality, if you multiply or divide both sides of the inequality by a negative number- reverse (flip) your inequality sign.

9. #1.Easier (Worked Out) Examples

10. #2. More Difficult (Worked Out) Exampleb.

11. Ex.1 Solve the Inequality and Graph.
𝟓<𝟑𝐱−𝟐𝟖

12. Ex.2 Solve the Inequality and Graph.
−𝟒 𝟕 𝐫≥−𝟑

13. Ex.3 Solve the Inequality and Graph.
𝟐𝒙−𝟔≥𝟑𝒙−𝟐

14. Ex.4 Solve the Inequality and Graph.
𝟑𝒙−(𝟐+𝟔𝒙)≤𝟐𝟖

15. Practice #1 Solve and Graph.
Put them on the same graph in different colors.
a. 𝟒𝒎+𝟏<𝟓𝒎−𝟕
b. 𝟑𝒙−𝟐 𝒙+𝟒 ≤𝟑𝒙−𝟖

16. Homework
Red Workbook p.90 #1-10 all

17. Is there always one solution?
No 
1. If an ineqality is equivalent to an inequality that is false (Ex. 5>10), then the inequality has no solution.
2. If an inequality is equivalent to an inequality that is true (Ex. -3<0), then the solutions to the inequality are all real numbers.

18. Ex. 5 Solve the inequality.
a. 14x + 5 < 7(2x-3)
b. 12x-1 > 6(2x-1)

19. Compound Inequalities
A compound inequality consists of two separate inequalities joined by and or or.

20. Compound Inequalities Graph Examples
And Or

21. Worked Out Example: Translating from Words to Inequalities

22. Ex.1 Translate and Graph
All real numbers that are less than -1 or greater than or equal to 4.
All real numbers that are greater than or equal to -3 and less than 5

23. Ex.2 Solve and Graph a Compound Inequality with and

24. You Try!
a. 10≤2𝑦+4<24
b. −7<−𝑧−1<3

25. Ex.3 Solve and Graph a Compound Inequality with or

26. You Try!
3ℎ+1<− 𝒐𝒓 ℎ −5>7

27. Red Workbook p.90 #11-23 odd; p.93-94 #4-11 all
Homework
Red Workbook p.90 #11-23 odd; p #4-11 all