Given a = 5, b = 6:

Show the Trichotomy Property

∀ ℝ a and b:

One of these is true:

1) a < b

2) a = b

3) a > b

5 < 6, 5 = 6, or 5 > 6

a - b = 5 - 6

a - b = -1

a - b + b < b + 0

Therefore, a < b

5 < 6 + 0

Therefore, 5 < 6

Therefore, a < b

5 < 6

5 < 6

Free Trichotomy Property Calculator - Demonstrates the Trichotomy Property with 2 numbers.
Numerical Properties

This calculator has 2 inputs.

This calculator has 2 inputs.

- 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

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