If aN = { ax : x in N } and bN cap cN = dN,wh | vedclass

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(A) The set $bN$ represents the set of all positive integral multiples of $b$,and $cN$ represents the set of all positive integral multiples of $c$.Th

Vedclass · Accepted Answer

$d = bc$

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(A) The set $bN$ represents the set of all positive integral multiples of $b$,and $cN$ represents the set of all positive integral multiples of $c$.The intersection $bN \cap cN$ consists of numbers that are multiples of both $b$ and $c$.Since $b$ and $c$ are relatively prime,the least common multiple of $b$ and $c$ is $bc$.Therefore,$bN \cap cN$ is the set of all positive integral multiples of $bc$,which is denoted as $(bc)N$.Given $bN \cap cN = dN$,we conclude that $d = bc$.

If $aN = \{ ax : x \in N \}$ and $bN \cap cN = dN$,where $b, c \in N$ are relatively prime,then

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