Write the set $G = {9, 16, 25, 36, . . ., 81}$ in set builder form.

G = {x | x = n^{2}, n \in N, 3 \leq n < 10}

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G = {x | x = n^{2}, n \in N, 3 < n < 10}

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Solution

The correct option is A $G = {x | x = n^{2}, n \in N, 3 \leq n < 10}$
Given, $G = {9, 16, 25, 36, 64, 81}$ in roster form
$= {3^{2}, 4^{2}, 5^{2}, 6^{2}, 7^{2}, 8^{2}, 9^{2}}$
$= {x | x = n^{2}, n \in N, 3 \leq n \leq 9}$ in set builder form

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Write the set G={9,16,25,36,...,81} in set builder form.

The correct option is A G={x|x=n2,n∈N,3≤n<10}Given, G={9,16,25,36,64,81} in roster form ={32,42,52,62,72,82,92} ={x|x=n2,n∈N,3≤n≤9} in set builder form

Write the set $G = {9, 16, 25, 36, . . ., 81}$ in set builder form.

The correct option is A $G = {x | x = n^{2}, n \in N, 3 \leq n < 10}$
Given, $G = {9, 16, 25, 36, 64, 81}$ in roster form
$= {3^{2}, 4^{2}, 5^{2}, 6^{2}, 7^{2}, 8^{2}, 9^{2}}$
$= {x | x = n^{2}, n \in N, 3 \leq n \leq 9}$ in set builder form