In rule method the null set is represented by

Write the following sets in the set-builder form :

$\{ 1,4,9 \ldots 100\} $

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 $x \in A$ and $A \not\subset B$, then $x \in B$

The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is

List all the elements of the following sers :

$F = \{ x:x$ is a consonant in the Englishalphabet which precedes $k\} $

Examine whether the following statements are true or false :

$\{ 1,2,3\}  \subset \{ 1,3,5\} $