Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $
$\{ x:x \in R, – 12\, < \,x\, < \, – 10\} = \left( { – 12, – 10} \right)$
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.
The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is
State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$
The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is
