Question

If $A=\{1,2\}$, $B=\left\{\right\{1\},\{2\left\}\right\}$, $C=\left\{\right\{1,2\left\}\right\}$. Then, which of the following relation is correct?

• A. $A=B$
• B. $B\subseteq C$
• C. $A\in C$
• D. $A\subset C$

Answer 1

The correct option is C

$A\in C$

Explanation for correct option.

Given,

$A=\{1,2\}$, $B=\left\{\right\{1\},\{2\left\}\right\}$, $C=\left\{\right\{1,2\left\}\right\}$

Now,

$A=\{1,2\}$ $\in$ $C=\left\{\right\{1,2\left\}\right\}$

So, $A\in C$

Hence ,correct option is $\left(C\right)$