Question

If $A=\{2,4,6,8,10,12\},B=\{4,6,8\}$ and $C=\{4,6\}$, then which of the following statements are correct?

• A. $A\supseteq B$
• B. $A\supseteq C$
• C. $B\subseteq A$
• D. $B\subseteq C$

Answer 1

Answer: (A), (B), (C)

$B\subseteq A$

Given,

$A=\{2,4,6,8,10,12\},B=\{4,6,8\}$ and $C=\{4,6\}$

Since, each element of set B is in set A,

$\Rightarrow B\subseteq A$

Since, each element of set B and set C are in set A,

$\Rightarrow A\supseteq C$ and $A\supseteq B$