Question

List all the elements of the given set: D = {x : x is a letter in the word ''LOYAL"}

Answer 1

Answer:

D = { L , O , Y , A}

Step-by-step explanation:

set: D = {x : x is a letter in the word ''LOYAL"}

Letters used in LOYAL

L  O  Y  A  L

Unique Letters used in LOYAL

L O  Y  A

D = { L , O , Y , A}

Answer 2

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DEFINITION :

SET : A set is a well defined collection of distinct objects

REPRESENTATION OF SET

A set is represented in below three forms :

(i) Statement form

Example : The set of even numbers less than 7

(ii) Roster or tabular form

Example : The set of whole numbers

W = { 0,1,2,3,4,........}

(iii) Rule or set builder form

$\sf{ Example \: : \{ \: x \in \: N \: : \: 1 < x < 7 \: \: \}\: \: }$

TO DETERMINE

List all the elements of the given set: D = {x : x is a letter in the word ''LOYAL"}

CALCULATION

The letter in the word LOYAL are L, O, Y, A

Hence the required set is

$\sf{D= \{ \: \: L, O, Y, A \: \} \: }$

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Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.

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