**Chapter 11.2 More Properties of Inequalities & Chapter 11.3 Simple Linear Inequalities**

1. For any two numbers, and b, one and only one of the following relationships holds:

2. If a < b and b < c, then a < c

3. When a number is added to or subtracted from both sides of an inequality, the inequality holds.

- If a < b, then a + k < b + k

4. When both sides of an inequality are multiplied by a non-zero number k, the inequality holds for k > 0, but the inequality sign is reversed for k < 0.

- if a < b and k >0, then ka < kb
- if a < b and k < 0, then ka > kb

5. We can apply the properties of inequalities learned in the previous sections to solve simple linear inequalities in one variable, such as

- 3x + 5 < 17
- 4x -9 > 7x + 8
- represents the solution on a number line

6. HW assignment

- handout: 1 page
- workbook: page 18:#7, #8, #9; page 19: #14, #15, #16, #17, #18

**1. For any two numbers, and b, one and only one of the following relationships holds:**

**2. If a < b and b < c, then a < c**

**3. When a number is added to or subtracted from both sides of an inequality, the inequality holds.**

- If a < b, then a + k < b + k

**4. When both sides of an inequality are multiplied by a non-zero number k, the inequality holds for k > 0, but the inequality sign is reversed for k < 0.**

- if a < b and k >0, then ka < kb
- if a < b and k < 0, then ka > kb

**5. We can apply the properties of inequalities learned in the previous sections to solve simple linear inequalities in one variable, such as**

- 3x + 5 < 17
- 4x -9 > 7x + 8
- represents the solution on a number line

**6. HW assignment**

- handout: 1 page
- workbook: page 18:#7, #8, #9; page 19: #14, #15, #16, #17, #18