For any two sets $A = {2, 4, 6, 8, 10}$ and $B = {1, 3, 5, 7, 9},$ select the correct representation for the relation $S$ given as: $S = {(a, b) : a \in A, b \in B, a \times b = 18} .$

S = {(2, 9), (6, 3)}

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S = {(9, 2), (3, 6)}

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S = {(2, 9), (6, 3), (1, 18)}

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S = {(2, 9), (6, 3), (18, 1)}

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Solution

The correct option is A $S = {(2, 9), (6, 3)}$
Given two sets: $A = {2, 4, 6, 8, 10}$ and $B = {1, 3, 5, 7, 9}$

Now, the relation $S$ is given as:
$S = {(a, b) : a \in A, b \in B, a \times b = 18}$

In roster form, we can write it as:

$S = {(2, 9), (6, 3)}$

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