Question

it is a method of describing a set wherin the element of the set may be characterized or described?​

Answer 1

Answer:

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Step-by-step explanation:

1. Listing The Elements (Roster Method)

The set can be defined by listing all its elements, separated by commas and enclosed within braces. This is called the roster method.

Examples:

V = {a, e, i, o, u}

B = {2, 4, 6, 8, 10}

X = {a, b, c, d, e}

However, in some instances, it may not be possible to list all the elements of a set. In such cases, we could define the set by methods 2 or 3.

2. Describing The Elements

The set can be defined, where possible, by describing the elements clearly in words.

Examples:

R is the set of multiples of 5.

V is the set of vowels in the English alphabet.

M is the set of months of a year.

3. Description By Set Builder Notation

The set can be defined by describing the elements using mathematical statements. This is called the set-builder notation.

Examples:

C = {x : x is an integer, x > –3 }

This is read as: “C is the set of elements x such that x is an integer greater than –3.”

D = {x: x is the capital city of a state in the USA}

We should describe a certain property which all the elements x, in a set, have in common so that we can know whether a particular thing belongs to the set.

We relate a member and a set using the symbol ∈. If an object x is an element of set A, we write x ∈ A. If an object z is not an element of set A, we write z ∉ A.

∈ denotes “is an element of’ or “is a member of” or “belongs to”

∉ denotes “is not an element of” or “is not a member of” or “does not belong to”

Example:

If A = {1, 3, 5} then 1 ∈ A and 2 ∉ A

Answer 2

Descriptive notation is a method of describing a set wherein the element of the set is characterized or described.

There are various forms of representation of a set;

1. Roster Method

The set may be defined by listing its items, separated by commas and surrounded by braces. That is known as the roster technique.

Examples:

A = {a, b, c, d}

B = {2, 4, 6, 10}

2. Describing The Elements

Examples:

A is the set of multiples of 4.

B is the set of consonants in the English alphabet.

M is the set of days of a week.

3. Description By Set Builder Notation

The set by using mathematical statements describes the items. That is known as set-builder notation.

Examples:

A = {x : x is a natural number, -3< x <4 }