Question

Given set A = {1, 2, 3... 10). Relation R is defined in set A as
R = {(a, b) EA* A: a = 2b}
Then range of relation R is
(a) (2, 4, 6, 8, 10)
(b) {1,3,5,7,9)
(c) {(2, 1), (4,2), (6,3), (8,4), (10,5)}
(d) {1, 2, 3, 4, 5)​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

A = { 1, 2, 3,4, 5 , 6 , 7 , 8 , 9 , 10 }

Relation R is defined in set A as

$\sf{ R = \{ \: (a,b) \in A \times A \: : a = 2b \: \}\: }$

TO DETERMINE

The range of relation R

EVALUATION

$\sf{Here \: \: \: A = \{1, 2, 3, 4, 5,6,7,8,9,10 \}}$

$\sf{ R = \{ \: (a,b) \in A \times A \: : a = 2b \: \}\: }$

For b = 1 we have a = 2

For b = 2 we have a = 4

For b = 3 we have a = 6

For b = 4 we have a = 8

For b = 5 we have a = 10

$\sf{Hence \: \: \: R = \{ (2,1),(4,2),(6,3),(8,4),(10,5) \} \: \: }$

$\sf{Hence \: Range \: of \: R = \{1,2,3,4,5 \}}$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

How many binary relations are there on a set S with 9 distinct elements

https://brainly.in/question/21209937