Examine whether the following statements are true or false :
$\{ 1,2,3\} \subset \{ 1,3,5\} $
Examine whether the following statements are true or false :
$\{ 1,2,3\} \subset \{ 1,3,5\} $
False. $2 \in\{1,2,3\} ;$ however, $2 \notin\{1,3,5\}$
Similar Questions
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$A \ldots C$
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$A \ldots C$
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\varnothing \in A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\varnothing \in A$
Write down all the subsets of the following sets
$\{ a\} $
Write down all the subsets of the following sets
$\{ a\} $
Let $A =\{1,2,3, \ldots \ldots, 10\}$ and $B=\left\{\frac{m}{n}: m, n \in A, m < n \text { and } \operatorname{gcd}(m, n)=1\right\} . $Then $n(B)$ is equal to :
- [JEE MAIN 2025]