Basic Concept of Inequalities with Integers
- Author:
- Lew W.S.
Familiarize your self with the basic concepts of inequalities and the inequality sign as you compare the values of two integers (either both positive, both negative or one positive, one negative)
1. Move points A and B such that to get on the number line A = 7 and B = 3. Write down the inequality in the underlined part in 7 ___ 3 , A _____ B
2. Move points A and B such that to get on the number line A = 2 and B = -4. Write down the inequality in the underlined part in 2 ___ -4 , A _____ B
3. Move points A and B such that to get on the number line A = -5 and B = -1. Write down the inequality in the underlined part in -5 ___ -1 , A _____ B
4. Move points A and B such that to get on the number line A = -2 and B = 4. Write down the inequality in the underlined part in -2 ___ 4 , A _____ B
What happens when you multiply both A and B by -1 equally for each of the tasks from 1 to 4 ? ie
5. From 1, after multiplying by -1, A = -7 and B = -3. Move A and B as before and observe. Write down the inequality in the underlined part in - 7 ___ -3 , A _____ B
6. From 2, after multiplying by -1, A = -2 and B = 4. Move A and B as before and observe. Write down the inequality in the underlined part in 2 ___ -4 , A _____ B
7. From 3, after multiplying by -1, A = 5 and B = 1. Move A and B as before and observe. Write down the inequality in the underlined part in -5 ___ -1 , A _____ B
8. From 4, after multiplying by -1, A = 2 and B = -4. Move A and B as before and observe. Write down the inequality in the underlined part in -2 ___ 4 , A _____ B