Write the following sets in the set-builder form :
$\{ 3,6,9,12\}$
$\{ 3,6,9,12\} = \{ x:x = 3n,n \in N{\rm{ }}$ and ${\rm{ }}1\, \le \,n\, \le \,4\} $
List all the elements of the following sers :
$D = \{ x:x$ is a letter in the word $"\mathrm{LOYAL}" $ $\} $
Examine whether the following statements are true or false :
$\{ 1,2,3\} \subset \{ 1,3,5\} $
Write the following sets in roster form :
$A = \{ x:x$ is an integer and $ – 3 < x < 7\} $
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$10 \, ………\, A $
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 $A \subset C$