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.
Write the following as intervals :
$\{ x:x \in R,0\, \le \,x\, < \,7\} $
Are the following pair of sets equal ? Give reasons.
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $
If $Q = \left\{ {x:x = {1 \over y},\,{\rm{where \,\,}}y \in N} \right\}$, then
Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.
Examine whether the following statements are true or false :
$\{ 1,2,3\} \subset \{ 1,3,5\} $