List all the elements of each of the sets given below

Question:

List all the elements of each of the sets given below

$D=\left\{x: x=n^{2}, n \in N\right.$ and $\left.2 \leq n \leq 5\right\}$

 

Solution:

Here, $x=n^{2}$ and $2 \leq n \leq 5$

∴ n = 2, 3, 4, 5

[it is given that n is less than equal to 2 and greater than equal to 5]

If

$n=2, x=(2)^{2}=4$

$n=3, x=(3)^{2}=9$

$n=4, x=(4)^{2}=16$

$n=5, x=(5)^{2}=25$

So, D = {4, 9, 16, 25}

 

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