If A = {2, 4, 6}, which statement about A is always true?
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Answer and explanation
Correct answer: A ⊆ A
Every set is a subset of itself because each element of the set is, naturally, contained in that same set. Here the elements 2, 4, and 6 all belong to A, so A ⊆ A is true. In contrast, A ∈ A would claim that the entire set A is an element, while 2 ⊆ A incorrectly treats a number as a set.
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, naturally, contained in that same set. Here the elements 2, 4, and 6 all belong to A, so A ⊆ A is true. In contrast, A ∈ A would claim that the entire set A is an element, while 2 ⊆ A incorrectly treats a number as a set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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