For two sets A and B,A cup B = A if and only | vedclass

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(A) The union of two sets $A$ and $B$ is defined as the set of all elements that are in $A$,in $B$,or in both.If $A \cup B = A$,it implies that every

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$B \subseteq A$

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(A) The union of two sets $A$ and $B$ is defined as the set of all elements that are in $A$,in $B$,or in both.If $A \cup B = A$,it implies that every element of $B$ must already be an element of $A$.By the definition of a subset,if every element of $B$ is in $A$,then $B$ is a subset of $A$,denoted as $B \subseteq A$.Therefore,the condition $A \cup B = A$ holds if and only if $B \subseteq A$.

For two sets $A$ and $B$,$A \cup B = A$ if and only if

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