Examine whether the following statements are true or false :
$\{ x:x$ is an even natural number less than $6\} \subset \{ x:x$ is a natural mumber which divide $36\} $
True. $\{ x:x$ is an even natural mumber less than $6\} = \{ 2,4\} $
$\{ x:x$ is a natural number which divides $36\} = \{ 1,2,3,4,6,9,12,18,36\} $
Set $A$ has $m$ elements and Set $B$ has $n$ elements. If the total number of subsets of $A$ is $112$ more than the total number of subsets of $B$, then the value of $m \times n$ is
Write the following sets in roster form :
$B = \{ x:x$ is a natural number less than ${\rm{ }}6\} $
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
The number of proper subsets of the set $\{1, 2, 3\}$ is
Examine whether the following statements are true or false :
$\{a\} \subset\{a, b, c\}$