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

Question

The set builder form of given set A = 3,6,9,12 and B = 1,4, 9,..., 100 is (A) A = x: x = 3n, n ∈ N textand 1 le n le 5 B = x: x = n2, n ∈ N textand 1 le n le 10  (B) A = x: x = 3n, n ∈ N textand 1 le n le 4 B = x: x = n2, n ∈ N textand 1 le n le 10  (C) A = x: x = 3n, n ∈ N textand 1 le n le 4 B = x: x = n2, n ∈ N textand 1 < n < 10  (D) None of these

Tardigrade Admin · Accepted Answer

Given, A = 3, 6, 9, 12 = x: x = 3n, n ∈ N textand 1 le n le 4 and B = 1, 4, 9, ..., 100 = x: x = n2, n ∈ N textand 1 le n le 10

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

$A = {x : x = 3 n, n \in N and 1 \leq n \leq 5}$ ,
$B = {x : x = n^{2}, n \in N and 1 \leq n \leq 10}$

$A = {x : x = 3 n, n \in N and 1 \leq n \leq 4}$ ,
$B = {x : x = n^{2}, n \in N and 1 \leq n \leq 10}$

$A = {x : x = 3 n, n \in N and 1 \leq n \leq 4}$ ,
$B = {x : x = n^{2}, n \in N and 1 < n < 10}$

None of these

Given, $A = {3, 6, 9, 12}$
$= {x : x = 3 n, n \in N and 1 \leq n \leq 4}$
and $B = {1, 4, 9, ..., 100}$
$= {x : x = n^{2}, n \in N and 1 \leq n \leq 10}$

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

A={x:x=3n,n∈Nand1≤n≤5}, B={x:x=n2,n∈Nand1≤n≤10}

A={x:x=3n,n∈Nand1≤n≤4}, B={x:x=n2,n∈Nand1≤n≤10}

A={x:x=3n,n∈Nand1≤n≤4}, B={x:x=n2,n∈Nand1<n<10}