In a Venn diagram, the shaded region represents A ∩ Bᶜ. Which set is equal to this region?
Advertisement
Answer and explanation
Correct answer: A − B
The expression A ∩ Bᶜ means the elements that belong to A and do not belong to B. The region common to A and the complement of B is therefore the part of A lying outside B. By the definition of set difference, this region is A − B. It is not B − A, because that would represent elements in B but outside A.
Frequently asked questions
What is the correct answer to this question?
A − B
Why is this the correct answer?
The expression A ∩ Bᶜ means the elements that belong to A and do not belong to B. The region common to A and the complement of B is therefore the part of A lying outside B. By the definition of set difference, this region is A − B. It is not B − A, because that would represent elements in B but outside A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
Advertisement