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# How is Null set represented in set builder form ?

$\begin{array}{1 1} \{ \} \\ \phi \\ \{x:x \neq x\} \\ \{x :x =0 \} \end{array}$

Toolbox:
• In set builder form the set is to be explained.
Here $x\neq x$ is false for any x.
$\therefore$ the set builder form of null set is
$\{x:x\neq x\}$

edited Dec 20, 2013