In the following,state whether $A = B$ or not:
$A = \{2, 4, 6, 8, 10\}$; $B = \{x : x \text{ is a positive even integer and } x \le 10\}$
$A = \{2, 4, 6, 8, 10\}$; $B = \{x : x \text{ is a positive even integer and } x \le 10\}$
(A) $A = \{2, 4, 6, 8, 10\}$
$B = \{x : x \text{ is a positive even integer and } x \le 10\}$
Listing the elements of set $B$,we get:
$B = \{2, 4, 6, 8, 10\}$
Since all elements of set $A$ are present in set $B$ and vice versa,we conclude that $A = B$.
$B = \{x : x \text{ is a positive even integer and } x \le 10\}$
Listing the elements of set $B$,we get:
$B = \{2, 4, 6, 8, 10\}$
Since all elements of set $A$ are present in set $B$ and vice versa,we conclude that $A = B$.
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