List all the elements of each of the sets given below.

Question:

 List all the elements of each of the sets given below.

A = {x : x = 2n, n ϵ N and n ≤ 5}.

 

Solution:

Given: x = 2n and n ≤ 5

$\Rightarrow \mathrm{n}=1,2,3,4$ and $5[\because \mathrm{n} \in \mathrm{N}]$

Given $x=2 n$

$n=1, x=2 \times 1=2$

$n=2, x=2 \times 2=4$

$n=3, x=2 \times 3=6$

$n=4, x=2 \times 4=8$

$n=5, x=2 \times 5=10$

So, the elements of A are 2, 4, 6, 8 and 10

∴, A = {2, 4, 6, 8, 10}

 

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