Question

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as set: n ∈ X but 2n ∉ X
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Answer 1

Answer:

the set will be

{3,4,5,6}

Step-by-step explanation:

it is because if we take 2 then 2n will be 4 which will belong to X and same goes with one but in 3,4,5 and 6 this isn't the case

hope it helps

Answer 2

${ \huge{\boxed{\tt {\color{red}{Answer}}}}}$

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For X = {1, 2, 3, 4, 5, 6}, it is given that n ∈ X, but 2n ∉ X.

Let, A = {x | x ∈ X and 2x ∉ X}

Now, 1 ∉ A as 2.1 = 2 ∈ X

2 ∉ A as 2.2 = 4 ∈ X

3 ∉ A as 2.3 = 6 ∈ X

But 4 ∈ A as 2.4 = 8 ∉ X

5 ∈ A as 2.5 = 10 ∉ X

6 ∈ A as 2.6 = 12 ∉ X

Therefore, A = {4, 5, 6}

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Hope it's Helpful.....:)