Trichotomy Property
Look how easy this is:
Example 1: given two numbers 5 and 7
Can more than one statement be true? No. 5 can not be equal to or greater than 7.
Example 2: Todd has 4 apples and Jorge has 10 apples. Which statement is true?
- Todd has more apples than Jorge.
- Todd has the same amount of apples as Jorge.
- Todd has fewer apples than Jorge.
Example 3: Amanda scored more points in basketball than Lauren. What else could we say about the scores?
- Lauren could NOT have scored more than Amanda
- Lauren could NOT have scored the same amount as Amanda.
Let's sum this up by using variables (letters instead of numbers). Only one statement can be true about any 2 numbers a and b.
a < b a = b or a > b
One last example: Alex is shorter than Barry. It follows than Barry is taller than Alex and they cannot be the same height.
Related Links:
Math
algebra
Inverse Properties of Addition and Multiplication
Distributive Property
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