Question

Let $A=\{1,3,5\}$ and $B=\{x:x$ is an odd natural number less than 6$\}$. Then, which of the following are true?
I. $A\subset B$
II. $B\subset A$
III. $A=B$
IV. $A\notin B$

• A. I and II are true
• B. I and III are true
• C. I, II and III are true
• D. I, II and IV are true

Answer 1

Answer: (C)

$A=\{1,3,5\}$
$B=\{x:x$ is an odd natural number less than $6\}=\{1,3,5\}$
Since, every element of $A$ is in $B$, so $A\subset B$.
Every element of $B$ is in $A$, so $B\subset A$.
Then, $A=B$