Which of the following are sets ? Justify your answer.
The collection of all the months of a year beginning with the letter $\mathrm{J}.$
The collection of all months of a year beginning with the letter $\mathrm{J}$ is a well-defined collection of objects because one can definitely identity a month that belongs to this collection.
Hence, this collection is a set.
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
Which of the following are sets ? Justify your answer.
A collection of most dangerous animals of the world.
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is prime $\} $
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$