Let $A=\{a, e, i, o, u\}$ and $B=\{a, b, c, d\} .$ Is $A$ a subset of $B ?$ No. (Why?). Is $B$ a subset of $A ?$ No. (Why?)
$A=\{a, e, i, o, u\}$ and $B=\{a, b, c, d\}$
( $i$ ) For a set to be a subset of another set, it needs to have all elements present in the another
set.
In set $A,\{e, i, o, u\}$ elements are present but these are not present in set $B$
Hence $A$ is not a subset of $B$.
(ii) For this condition to be true, are elements of sets $B$ should be present in set $A$
In set $B,\{b, c, d\}$ elements are present but these elements are not present in set $A$
Hence $B$ is not a subset of $A$
Write the following sets in the set-builder form :
$\{ 3,6,9,12\}$
How many elements has $P(A),$ if $A=\varnothing ?$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$
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 $A \not\subset B$ and $B \not\subset C,$ then $A \not\subset C$
Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.