# DESCRIPTIVE FORM OF SET

One way to specify a set is to give a verbal description of its elements. This is known as the Descriptive form of specification.

The description must allow a concise determination of which elements belong to the set and which elements do not.

Write each of the following sets in descriptive form.

Example 1 :

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

Solution :

The given set contains vowels.

Descriptive form :

V is the set of all vowels in the English alphabet

Example 2 :

A = {1, 3, 5, 7, 9, 11, 13, 15}

Solution :

The given set contains odd numbers ending with 15.

Descriptive form :

A is the set of all odd natural numbers less than or equal to 15

Example 3 :

B = {1, 4, 9, 16, 25, 36, 49}

Solution :

The given set contains the square of natural numbers ending with 49.

Descriptive form :

C is the set of all perfect squares less than 50

Example 4 :

P = {x : x is a letter in the word "follow"’}

Solution :

The given set is in set builder form. It contains the letters of the word "follow".

Descriptive form :

P is the set of all letters in the word "follow"

Example 5 :

Q = {x : x is a prime number from 1 to 20}

Solution :

The given set is in set builder form. It contains the prime numbers from 1 to 20.

Descriptive form :

Q is the set of prime numbers in the first 20 natural numbers

Example 6 :

R = {1, 2, 3, ......, 25}

Solution :

The given set contains first 25 natural numbers.

Descriptive form :

R is the set of first 25 natural numbers

Example 7 :

R = {2, 4, 6, 8,...........}

Solution :

The given set contains positive even numbers.

Description :

R is the set of all positive even numbers

Example 8 :

S = {3, 6, 9, 12, ...................}

Solution :

The given set contains all positive multiples of 3.

Description :

S is the set of positive multiples of 3

Example 9 :

A = {234, 243, 324, 342, 423, 432}

Solution :

The given set contains three-digit numbers are formed with the digits 2, 3 and 4.

Description :

A is the set of three-digit numbers which can be formed with the digits 2, 3 and 4

Example 10 :

B = {cde, ced, dce, dec, ecd, edc}

Solution :

The given set contains all possible different arrangements of the three letters c, d and e.

Description :

B is the set of all different arrangements of the three letters c, d and e

Kindly mail your feedback to v4formath@gmail.com

## Recent Articles

1. ### Simplifying Algebraic Expressions with Fractional Coefficients

May 17, 24 08:12 AM

Simplifying Algebraic Expressions with Fractional Coefficients

2. ### The Mean Value Theorem Worksheet

May 14, 24 08:53 AM

The Mean Value Theorem Worksheet