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:
- a < b
- a = b
- a > b
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:
- a < b
- a = b
- a > b
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
