Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\{0,1,2,3,4,5,6,7,8,9,10\}$
$A \subset\{0,1,2,3,4,5,6,7,8,9,10\}$
$B \subset\{0,1,2,3,4,5,6,7,8,9,10\}$
$C \subset\{0,1,2,3,4,5,6,7,8,9,10\}$
Therefore, the set $\{0,1,2,3,4,5,6,7,8,9,10\}$ is the universal set for the sets $A , B ,$ and $C.$
The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,3\}\subset A$
Examine whether the following statements are true or false :
$\{ a,b\} \not\subset \{ b,c,a\} $
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?)
Assume that $P(A)=P(B) .$ Show that $A=B$.