The set builder form of given set A={3,6,9,12} and B={1,4,9,…..,100} is

A = { x : x = 3 n , n ∈ N and 1 ≤ n ≤ 4 } B = x : x = n 2 , n ∈ N and 1 ≤ n ≤ 10 }

A = { x : x = 3 n , n ∈ N and 1 ≤ n ≤ 4 } B = x : x = n 2 , n ∈ N and 1 ≤ n ≤ 10 }

A = { x : x = 3 n , n ∈ N and 1 ≤ n ≤ 5 } B = x : x = n 2 , n ∈ N and 1 ≤ n ≤ 10 }

A = { x : x = 3 n , n ∈ N and 1 ≤ n ≤ 4 } B = x : x = n 2 , n ∈ N and 1 ≤ n ≤ 10 }

A = { x : x = 3 n , n ∈ N and 1 ≤ n ≤ 4 } B = x : x = n 2 , n ∈ N and 1 < n < 10 }

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The set builder form of given set $A = {3, 6, 9, 12}$ and $B = {1, 4, 9, \dots . ., 100}$ is

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$A = {x : x = 3 n, n \in N$ and $1 \leq n \leq 5}$

$B = \{x : x = n^{2}, n \in N$ and $1 \leq n \leq 10}$

$A = {x : x = 3 n, n \in N$ and $1 \leq n \leq 4}$

$B = \{x : x = n^{2}, n \in N$ and $1 \leq n \leq 10}$

$A = {x : x = 3 n, n \in N$ and $1 \leq n \leq 4}$

$B = \{x : x = n^{2}, n \in N$ and $1 < n < 10}$

None of these

answer is B.

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Given, $A = {3, 6, 9, 12}$ $= {x : x = 3 n, n \in N$ and $1 \leq n \leq 4$ }

and $B = {1, 4, 9, \dots \dots, 100}$ $= \{x : x = n^{2}, n \in N$ and $1 \leq n \leq 10}$

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