If \( \alpha \varepsilon N \) and \( \alpha N=\{a x: x \varepsilon N\} \) then the set \( 6 N \c...

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If \( \alpha \varepsilon N \) and \( \alpha N=\{a x: x \varepsilon N\} \) then the set \( 6 N \cap 8 N N \) is equal to
(A) \( 8 \mathbf{N} \)
(B) \( 48 \mathrm{~N} \)
(C) \( 12 \mathrm{~N} \)
(D) \( 24 \mathrm{~N} \)
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