If A = {5, 6, 7}, which relation between A and itself is correct?
Answer and explanation
Correct answer: A ⊆ A
Every set is a subset of itself because each element of the set is, by definition, contained in that same set. Here the elements 5, 6, and 7 all belong to A, so A ⊆ A is true. The set is not empty, so A = ∅ is false. Also, A ∈ A does not follow from A ⊆ A; being a subset and being an element are different relationships. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
A ⊆ A
Why is this the correct answer?
Every set is a subset of itself because each element of the set is, by definition, contained in that same set. Here the elements 5, 6, and 7 all belong to A, so A ⊆ A is true. The set is not empty, so A = ∅ is false. Also, A ∈ A does not follow from A ⊆ A; being a subset and being an element are different relationships. Therefore option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
