Why is A ⊆ A true for every set A?
Answer and explanation
Correct answer: Because every element of A is in A itself
The statement A ⊆ A follows directly from the definition of a subset. A set X is a subset of Y if every element of X belongs to Y. When both sets are A, every element of A is certainly an element of A itself. This remains true whether A is empty, finite, or infinite. Therefore, every set is a subset of itself, and option A is correct.
Frequently asked questions
What is the correct answer to this question?
Because every element of A is in A itself
Why is this the correct answer?
The statement A ⊆ A follows directly from the definition of a subset. A set X is a subset of Y if every element of X belongs to Y. When both sets are A, every element of A is certainly an element of A itself. This remains true whether A is empty, finite, or infinite. Therefore, every set is a subset of itself, and 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.
