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(B) The intersection of two sets $A$ and $B$ is defined as the set of all elements that are common to both $A$ and $B$.Given the condition $A \cap B =

Vedclass · Accepted Answer

$B \subset A$

Vedclass · Answer

(B) The intersection of two sets $A$ and $B$ is defined as the set of all elements that are common to both $A$ and $B$.Given the condition $A \cap B = B$.By definition,for any two sets $A$ and $B$,$A \cap B$ is a subset of $B$ (i.e.,$(A \cap B) \subseteq B$) and $A \cap B$ is also a subset of $A$ (i.e.,$(A \cap B) \subseteq A$).Since $A \cap B = B$,it follows that $B \subseteq A$.Therefore,the correct option is $B \subset A$ (or $B \subseteq A$).

If $A \cap B = B$,then

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