Question

Statement I Let $A=\{a, b\}$ and $B=\{a, b, c\}$. Then, $A \not \subset B$
Statement II If $A \subset B$, then $A \cup B=B$.

• A. Statement I is true
• B. Statement II is true
• C. Both are true
• D. Both are false

Answer 1

Answer: (B)

$A=\{a, b\}, B=\{a, b, c\}$
Since, all the elements of $A$ are in $B$. So,
$A \subset B$
Hence, Statement I is false.
$\because A \subset B $
$\Rightarrow A \cup B=B$
Therefore, Statement II is true.