If A ⊆ B, what is (C \ B) ∩ A?
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Answer and explanation
Correct answer: ∅
Because A ⊆ B, every element of A is also an element of B. However, C \ B contains only those elements of C that are not in B. Therefore no element can belong to both A and C \ B. Their intersection is consequently the empty set, ∅, regardless of the particular sets C and B.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
Because A ⊆ B, every element of A is also an element of B. However, C \ B contains only those elements of C that are not in B. Therefore no element can belong to both A and C \ B. Their intersection is consequently the empty set, ∅, regardless of the particular sets C and B.
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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