Examine whether the following statements are true or false :

$\{ a\}  \in \{ a,b,c\} $

Write the following as intervals :

$\{ x:x \in R,3\, \le \,x\, \le \,4\} $

Examine whether the following statements are true or false :

$\{ a,e\}  \subset \{ x:x$ is a vowelin the English alphabet $\} $

Assume that $P(A)=P(B) .$ Show that $A=B$.

List all the elements of the following sers :

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

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and ${x^2} = 4\} $