Assertion: If A ⊆ B, then A ∩ B = A. Reason: Every element of A is also in B. Choose the correct option.
Answer and explanation
Correct answer: Both assertion and reason are true, and the reason is the correct explanation
Both the assertion and the reason are true. Since A ⊆ B, every element of A already belongs to B. The intersection A ∩ B contains elements common to both sets. Therefore, every element of A is retained and no element is added from B, so A ∩ B = A. The reason directly explains why the assertion holds.
Frequently asked questions
What is the correct answer to this question?
Both assertion and reason are true, and the reason is the correct explanation
Why is this the correct answer?
Both the assertion and the reason are true. Since A ⊆ B, every element of A already belongs to B. The intersection A ∩ B contains elements common to both sets. Therefore, every element of A is retained and no element is added from B, so A ∩ B = A. The reason directly explains why the assertion holds.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
