If A, B, and C are sets, then A ∩ (B − C) is equal to which expression?
Answer and explanation
Correct answer: (A ∩ B) − C
By definition, B − C consists of elements that belong to B but do not belong to C. Intersecting this set with A retains precisely those elements that are simultaneously in A and B and are outside C. This is exactly the meaning of (A ∩ B) − C. The other expressions either include extra elements or remove the wrong condition.
Frequently asked questions
What is the correct answer to this question?
(A ∩ B) − C
Why is this the correct answer?
By definition, B − C consists of elements that belong to B but do not belong to C. Intersecting this set with A retains precisely those elements that are simultaneously in A and B and are outside C. This is exactly the meaning of (A ∩ B) − C. The other expressions either include extra elements or remove the wrong condition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
