Sets Operations

Intersection: Since everything in A is in B, the shared elements are exactly the set A. Thus $A \cap B = A$ is true.
Union: Adding elements of A to B adds nothing new, so the result is just set B. Thus $A \cup B = B$ is true.
Difference: $A - B$ removes from A all elements that are also in B. Since all elements of A are in B, nothing remains. Thus $A - B = \emptyset$ is true.
Conclusion: All listed statements are fundamental consequences of the subset relation.

This medium difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of sets operations. It appeared in the 2025 exam.

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Sets Operations

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