# What Is Trichotomy Property?

## How do you prove Trichotomy?

Using the Trichotomy Law prove that if a and b are real numbers then one and only one of the following is possible: ab.

Since a and b are real numbers then a−b is a real number.

By the Trichotomy Law we know that a − b < 0, a − b = 0 or a − b > 0..

## What does plenipotentiary mean?

A plenipotentiary (from the Latin plenus “full” and potens “powerful”) is a diplomat who is fully authorized to represent a government as a prerogative (such as an ambassador or an envoy). When used as a noun more generally, the word plenipotentiary can also refer to any person who has “full powers”.

## What is dichotomy and trichotomy?

In Christian theology, the tripartite view (trichotomy) holds that humankind is a composite of three distinct components: body, spirit, and soul. It is in contrast to the bipartite view (dichotomy), where soul and spirit are taken as different terms for the same entity (the spiritual soul).

## What are the six properties of real numbers?

Basic Properties of Real NumbersThe Closure Property.The Commutative Property.The Associative Property.The Distributive Property.

## What’s the difference between symmetric and commutative property?

2 Answers. The only difference I can see between the two terms is that commutativity is a property of internal products X×X→X while symmetry is a property of general maps X×X→Y in which Y might differ from X.

## What is the difference between symmetric and reflexive property?

The Reflexive Property states that for every real number x , x=x . The Symmetric Property states that for all real numbers x and y , if x=y , then y=x .

## What is the transitive?

A transitive verb is a verb that accepts one or more objects. This contrasts with intransitive verbs, which do not have objects. … Transitive verbs can be classified by the number of objects they require. Verbs that accept only two arguments, a subject and a single direct object, are monotransitive.

## What is the meaning of trichotomy?

noun, plural tri·chot·o·mies. division into three parts, classes, categories, etc. an instance of such a division, as in thought, structure, or object. the three-part division of human beings into body, spirit, and soul.

## What is the symmetric property?

In mathematics, the symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.

## What are the basic number properties?

There are four basic properties of numbers: commutative, associative, distributive, and identity. You should be familiar with each of these.

## What is an example of reflexive property?

We learned that the reflexive property of equality means that anything is equal to itself. … This property tells us that any number is equal to itself. For example, 3 is equal to 3.

## What is Trichotomy property of real numbers?

In mathematics, the law of trichotomy states that every real number is either positive, negative, or zero.

## What are the 4 properties of inequality?

PROPERTIES OF INEQUALITYAnti reflexive PropertyFor all real numbers x , x≮x and x≯xAddition PropertyFor all real numbers x,y, and z , if x

## Is 0 a real number?

Answer and Explanation: Yes, 0 is a real number in math. By definition, the real numbers consist of all of the numbers that make up the real number line. The number 0 is…

## Can a real number be negative?

This can include whole numbers or integers, fractions, rational numbers and irrational numbers. … Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers.