Question

Given A = {$x$ : $x\in N$ and $3<x\le 6$} and B = {$x$ : $x\in W$ and $x<4$}, then find : A $\cup$ B.

Answer 1

$A=\{x:x\in N,3<x\le 6\}$

$\therefore A=\{4,5,6\}$
$B=\{x:x\in W,x<4\}$

$\therefore B=\{0,1,2,3\}$ [$x\in W$ i.e., Whole Number]
$A\cup B=$ contains all the elements of $A$ and $B$ But elements are not repeated.

$\therefore A\cup B=\{0,1,2,3,4,5,6\}$