If A = {1, {2}, 3}, which statement is true?
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Answer and explanation
Correct answer: {2} ∈ A
The set A has three elements: 1, the set {2}, and 3. The braces around 2 mean that {2} is one complete element of A, whereas the number 2 alone is not listed as an element of A. Also, a set such as {1,2} cannot be a subset because 2 is absent as an individual element. Hence only statement A is true.
Frequently asked questions
What is the correct answer to this question?
{2} ∈ A
Why is this the correct answer?
The set A has three elements: 1, the set {2}, and 3. The braces around 2 mean that {2} is one complete element of A, whereas the number 2 alone is not listed as an element of A. Also, a set such as {1,2} cannot be a subset because 2 is absent as an individual element. Hence only statement A is true.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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