Given a = 5, b = 6:
Show the Trichotomy Property
Definition
∀ ℝ a and b:
One of these is true:
1) a < b
2) a = b
3) a > b
Prove one of the following:
5 < 6, 5 = 6, or 5 > 6
Calculate 5 - 6
a - b = 5 - 6
a - b = -1
Rearrange the equation:
a - b + b < b + 0
Therefore, a < b
Simplifying, we get:
5 < 6 + 0
Therefore, 5 < 6
Therefore, a < b
Final Answer
5 < 6
What is the Answer?
5 < 6
How does the Trichotomy Property Calculator work?
Free Trichotomy Property Calculator - Demonstrates the Trichotomy Property with 2 numbers.
Numerical Properties
This calculator has 2 inputs.
This calculator has 2 inputs.
What 2 formulas are used for the Trichotomy Property Calculator?
a < b, a = b, or a > b
What 5 concepts are covered in the Trichotomy Property Calculator?
- less than
- Shows an inequality of one value being less than another
< - number
- an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
- property
- an attribute, quality, or characteristic of something
- subtract
- to take away from a group or a number of things
- - trichotomy property
- for natural numbers a and b, either a is less than b, a equals b, or a is greater than b
