Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{ x:x$ is a circlein the plane $\} \ldots \{ x:x$ is a circle in thesame plane with radius $1$ unit $\} $
$\{ x:x$ is a circle in the plane $\} \not\subset \{ x:x$ is a circle in thesame plane with radius $1$ unit $\} $
List all the elements of the following sers :
$C = \{ x:x$ is an integer ${\rm{; }}{x^2} \le 4\} $
Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $B \in C,$ then $A \in C$
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.