Let A={1,2,3,.....,14}. Define a relation on a set A by R={(x,y):3x−y=0, where x,y∈A}.Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

A={1,2,3,....,14}R={(x,y):3x−y=0, where x,y∈A}Or,R={(x,y):2x=y, where x,y∈A}As3×1=33×2=63×3=93×4=12OrR={(1,3),(2,6),(3,9),(4,12)}Domain (R)={1,2,3,4}Range (R)={3,6,9,12}Co-domain (R)=A

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Let A={1, 2, 3,....., 14}. Define a relation on a set A by R={

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Let $A = {1, 2, 3, ....., 14}$ . Define a relation on a set A by $R = {(x, y) : 3 x - y = 0$ , where $x, y \in A}$ .
Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

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Noah Discussed

Let

A = {1, 2, 3, ....., 14}

. Define a relation on a set A by

R = {(x, y) : 3 x - y = 0

, where

x, y \in A}

.
Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

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Discuss this question LIVE

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Text solutionVerified

A = {1, 2, 3, ...., 14}

R = {(x, y) : 3 x - y = 0,

where

x, y \in A}

Or,

R = {(x, y) : 2 x = y,

where

x, y \in A}

3 \times 1 = 3

3 \times 2 = 6

3 \times 3 = 9

3 \times 4 = 12

R = {(1, 3), (2, 6), (3, 9), (4, 12)}

Domain

(R) = {1, 2, 3, 4}

Range

(R) = {3, 6, 9, 12}

Co-domain

(R) = A

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Question Text	Let $A = {1, 2, 3, ....., 14}$ . Define a relation on a set A by $R = {(x, y) : 3 x - y = 0$ , where $x, y \in A}$ . Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.
Answer Type	Text solution:1
Upvotes	150

Let A={1,2,3,.....,14}. Define a relation on a set A by R={(x,y):3x−y=0, where x,y∈A}.Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

Text solutionVerified

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Let $A = {1, 2, 3, ....., 14}$ . Define a relation on a set A by $R = {(x, y) : 3 x - y = 0$ , where $x, y \in A}$ .
Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.