Write the following set in set builder form:
${1, 4, 9, 16, 25, 36}$

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Solution

The given set of numbers is ${1, 4, 9, 25, 36}$
We know that, $1^{2} = 2, 2^{2} = 4, 3^{2} = 9, 4^{2} = 16, 5^{2} = 25$ and $6^{2} = 36$
So, we can write this set in set builder form as follows :
Set builder form of ${1, 4, 9, 16, 25, 36}$
$= {y : y = x^{2} and 1 \leq x \leq 6}$

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