Question

Given set aN= {ax, x belongs to N, a is a constant natural number}. Describe the set 4N intersection 6N?​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

$aN = \{ \: ax : x \in \: N\: \: \}$

TO DETERMINE

$4N \: \cap \: 6N$

CALCULATION

From above definition

$4N = \{ \: 4x : x \in \: N \: \}$

$\implies \: 4N \: = \{ \: 4 , 8 , 12 , 16 , 20 , 24 , 28 , .......\}$

Again

$\: 6N \: = \{ \:6 x : x \in \: N \: \}$

$\implies \: 6N \: = \{ \: 6 , 12 , 18 , 24 , 30 , .......\}$

So

$4N \: \cap \: 6N \: = \{ \: 12 , 24 , .......\}$

Hence

$4N \: \cap \: 6N = 12N$

RESULT

$\boxed{ \: \: 4N \: \cap \: 6N = 12N \: }$

Answer 2

Answer:

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