Examine whether the following statements are true or false :
$\{ 1,2,3\} \subset \{ 1,3,5\} $
False. $2 \in\{1,2,3\} ;$ however, $2 \notin\{1,3,5\}$
In rule method the null set is represented by
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
Which of the following sets are finite or infinite.
$\{1,2,3, \ldots 99,100\}$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
Write the set $\{ x:x$ is a positive integer and ${x^2} < 40\} $ in the roster form.
