If in the Venn diagram of A and B, the circle of A lies completely inside the circle of B, which statement is necessarily true?
Answer and explanation
Correct answer: A ⊆ B
When the circle representing A lies completely inside the circle representing B, every element of A is also an element of B. This is precisely the definition of A being a subset of B, written A ⊆ B. The reverse inclusion is not necessarily true because B may contain additional elements outside A. The sets are not disjoint, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
When the circle representing A lies completely inside the circle representing B, every element of A is also an element of B. This is precisely the definition of A being a subset of B, written A ⊆ B. The reverse inclusion is not necessarily true because B may contain additional elements outside A. The sets are not disjoint, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
