Question

if a belongs to N such that aN ={ ax:x belongs to N} describe the set 3N intersection 7N

Answer 1

Answer: The answer is 21N.

Step-by-step explanation: Given that if 'a' is an element of set 'N' such that

aN = { ax:x belongs to N}.

We are to describe the set 3N intersection 7N.

We know that the L.C.M. of 3 and 7 is 21. So, we have

$3N\cap 7N\\\\=\{3x:x\epsilon N\}\cap \{7x:x\epsilon N\}\\\\=\{21x:x\epsilon N\}\\\\=21N.$

Thus, the answer is

$21N=\{21x:x\epsilon N\}.$

Answer 2

Answer:

Step-by-step explanation:

After reading the given conditions,you get 3N n* 7N ,here n *- means intersection, then you get {21x : x€N} and your answer is 21N *because the LCM of 7 and 3 is 21*