If \(A\subseteq B\), what is \(A\cup B\) equal to in a Venn diagram?
Answer and explanation
Correct answer: \(B\)
When \(A\subseteq B\), every element of A is already included in B. Therefore, combining all elements of A and B adds nothing beyond B, so \(A\cup B=B\). Option B would be correct only when A and B are equal. Option C is the empty set, while option D represents elements of A outside B; that set is empty under the given condition, not the union.
Frequently asked questions
What is the correct answer to this question?
\(B\)
Why is this the correct answer?
When \(A\subseteq B\), every element of A is already included in B. Therefore, combining all elements of A and B adds nothing beyond B, so \(A\cup B=B\). Option B would be correct only when A and B are equal. Option C is the empty set, while option D represents elements of A outside B; that set is empty under the given condition, not the union.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
