Write the following as intervals :

 $\{ x:x \in R, - 4\, < \,x\, \le \,6\} $

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 $B \subset C,$ then $A \subset C$

Which of the following are sets ? Justify your answer.

The collection of questions in this chapter.

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

In the following state whether $\mathrm{A = B}$ or not :

$A = \{ 2,4,6,8,10\} ;B = \{ x:x$ is positiveeven integer and $x\, \le \,10\} $

Examine whether the following statements are true or false :

$\{ a\}  \in \{ a,b,c\} $