If A = {1, 2, 3}, which of the following statements is true?
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Answer and explanation
Correct answer: 1 ∈ A and {1} ⊆ A
The symbol ∈ relates an object to a set, while ⊆ relates one set to another. Since 1 is listed in A, 1 ∈ A is true. The singleton set {1} contains only an element of A, so {1} ⊆ A is also true. Option B reverses these meanings, option C ignores 2 and 3, and option D fails because 4 is not in A.
Frequently asked questions
What is the correct answer to this question?
1 ∈ A and {1} ⊆ A
Why is this the correct answer?
The symbol ∈ relates an object to a set, while ⊆ relates one set to another. Since 1 is listed in A, 1 ∈ A is true. The singleton set {1} contains only an element of A, so {1} ⊆ A is also true. Option B reverses these meanings, option C ignores 2 and 3, and option D fails because 4 is not in A.
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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