If A \ B = ∅, which statement is definitely correct?
Answer and explanation
Correct answer: A ⊆ B
The difference A \ B consists of elements that belong to A but do not belong to B. If this difference is empty, there is no element of A outside B. Therefore, every element of A is also an element of B, which is exactly the definition of A ⊆ B. The other statements do not necessarily follow; for example, A and B may overlap without being equal.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
The difference A \ B consists of elements that belong to A but do not belong to B. If this difference is empty, there is no element of A outside B. Therefore, every element of A is also an element of B, which is exactly the definition of A ⊆ B. The other statements do not necessarily follow; for example, A and B may overlap without being equal.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
