Question

State, whether the following pairs of sets equal or not:

A = {2,4,6,8} and B = {2n : n $\in N$ and n < 5}

Answer 1

Step : Check whether the given pair of sets are equal

Given: A = {2,4,6,8} and

B= {2n : n $ϵ$ N and n < 5}

As, n < 5, n $ϵ$ N

$\Rightarrow$ n = 1,2,3,4 & B = 2n

when, n =1, 2n =2$\times$1 = 2
when, n =2, 2n =2$\times$2 = 4
when, n =3, 2n =2$\times$3 = 6
​​​​​​​when, n =4, 2n =2$\times$4 = 8
$\Rightarrow$ B = {2,4,6,8}

So, element of both sets A and B are identical.

Hence, sets A and B are equal.
​​​​​​​