Examine whether the following statement is true or false:
$\{x : x \text{ is an even natural number less than } 6\} \subset \{x : x \text{ is a natural number which divides } 36\}$
$\{x : x \text{ is an even natural number less than } 6\} \subset \{x : x \text{ is a natural number which divides } 36\}$
(A) The statement is True.
First,list the elements of the set $\{x : x \text{ is an even natural number less than } 6\} = \{2, 4\}$.
Next,list the elements of the set $\{x : x \text{ is a natural number which divides } 36\} = \{1, 2, 3, 4, 6, 9, 12, 18, 36\}$.
Since every element of the first set (i.e.,$2$ and $4$) is present in the second set,the first set is a subset of the second set.
First,list the elements of the set $\{x : x \text{ is an even natural number less than } 6\} = \{2, 4\}$.
Next,list the elements of the set $\{x : x \text{ is a natural number which divides } 36\} = \{1, 2, 3, 4, 6, 9, 12, 18, 36\}$.
Since every element of the first set (i.e.,$2$ and $4$) is present in the second set,the first set is a subset of the second set.
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