If A ⊆ B and B ⊆ C, which conclusion is correct?
Answer and explanation
Correct answer: A ⊆ C
Subset inclusion is transitive. From A ⊆ B, every element of A belongs to B. From B ⊆ C, every element of B belongs to C. Therefore, each element of A, being an element of B, must also be an element of C. Hence A ⊆ C. The conditions do not imply that A and C are equal or that the reverse inclusions hold, so option A is the only justified conclusion.
Frequently asked questions
What is the correct answer to this question?
A ⊆ C
Why is this the correct answer?
Subset inclusion is transitive. From A ⊆ B, every element of A belongs to B. From B ⊆ C, every element of B belongs to C. Therefore, each element of A, being an element of B, must also be an element of C. Hence A ⊆ C. The conditions do not imply that A and C are equal or that the reverse inclusions hold, so option A is the only justified conclusion.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
