If aN = { ax : x in N },then the set 3N cap 7 | vedclass

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(A) Given that $aN = \{ ax : x \in N \}$.This represents the set of all multiples of $a$.Therefore,$3N = \{ 3, 6, 9, 12, 15, 18, 21, 24, \dots \}$ and

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$21$

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(A) Given that $aN = \{ ax : x \in N \}$.This represents the set of all multiples of $a$.Therefore,$3N = \{ 3, 6, 9, 12, 15, 18, 21, 24, \dots \}$ and $7N = \{ 7, 14, 21, 28, \dots \}$.The intersection $3N \cap 7N$ consists of all numbers that are multiples of both $3$ and $7$.The smallest common multiple of $3$ and $7$ is their least common multiple,$	ext{LCM}(3, 7) = 21$.Thus,$3N \cap 7N = \{ 21, 42, 63, \dots \} = 21N$.Comparing this with $kN$,we get $k = 21$.

If $aN = \{ ax : x \in N \}$,then the set $3N \cap 7N$ is equal to $kN$,where $k$ is:

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