Let A={1,2,3,4} and R be a relation on the se | vedclass

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Question

$A =\{1,2,3,4\}$

$R =\{( a , b ),( c , d )\}$

$2 a +3 b =4 c +5 d =\alpha 	ext { let }$

$2 a =\{2,4,6,8\} \quad 4 c =\{4,8,12,16\}$

$3 b

Vedclass · Accepted Answer

$6$

Vedclass · Answer

$A =\{1,2,3,4\}$

$R =\{( a , b ),( c , d )\}$

$2 a +3 b =4 c +5 d =\alpha 	ext { let }$

$2 a =\{2,4,6,8\} \quad 4 c =\{4,8,12,16\}$

$3 b =\{3,6,9,12\} \quad 5 d =\{5,10,15,20\}$

$2 a +3 b =\left\{\begin{array}{l}5,8,11,14 \ 7,10,13,16 \ 9,12,15,18 \ 11,14,17,20\end{array}ight\} \quad 4 c +5 d \left\{\begin{array}{l}9,14,19,24 \ 13,18 \ldots . \ 17,22 \ldots \ 21,26 \ldots\end{array}ight\}$

Possible value of $\alpha=9,13,14,14,17,18$

Pairs of $\{( a , b ),( c , d )\}=6$

Let $A=\{1,2,3,4\}$ and $R$ be a relation on the set $A \times A$ defined by $R=\{((a, b),(c, d)): 2 a+3 b=4 c+5 d\}$. Then the number of elements in $R$ is:

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