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\} $
Which of the following is the empty set
Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.
Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are
Are the following pair of sets equal ? Give reasons.
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $