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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)HardLevel 16

If A ⊆ B, which set is equal to (A ∪ B) − (A ∩ B)?

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Answer and explanation

Correct answer: B − A

The relation A ⊆ B means every element of A is also an element of B. Consequently, A ∪ B = B and A ∩ B = A. Substituting these results into the expression gives (A ∪ B) − (A ∩ B) = B − A. Notice that A − B is empty because no element of A lies outside B. Therefore, option A is the only correct answer.

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setssubsetsunionintersectionset differenceOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

B − A

Why is this the correct answer?

The relation A ⊆ B means every element of A is also an element of B. Consequently, A ∪ B = B and A ∩ B = A. Substituting these results into the expression gives (A ∪ B) − (A ∩ B) = B − A. Notice that A − B is empty because no element of A lies outside B. Therefore, option A is the only correct answer.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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