Mathematics Glossary » Table 5 #
Table 5. The properties of inequality. Here a, b, and c stand for arbitrary numbers in the rational or real number systems.
Exactly one of the following is true: a < b, a = b, a > b. |
If a > b and b > c then a > c. |
If a > b, b < a. |
If a > b, then -a <-b. |
If a > b, then a ± c > b ± c. |
If a > b and c > 0, then a x c > b x c. |
If a > b and c < 0, then a x c < b x c. |
If a > b and c > 0, then a ÷ c > b ÷ c. |
If a > b and c < 0, then a ÷ c < b ÷ c. |