For the set A = {1, 2, {3}}, which statement is correct?
Answer and explanation
Correct answer: {3} ∈ A — the set {3} is an element of A
The set A has exactly three elements: 1, 2, and the set {3}. The braces around 3 are important because they make {3} one complete element of A. The number 3 by itself is not listed as an element. Also, {1, 3} is not a subset because 3 is not an element of A, and A is not a subset of {1, 2, 3} because {3} differs from 3.
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What is the correct answer to this question?
{3} ∈ A — the set {3} is an element of A
Why is this the correct answer?
The set A has exactly three elements: 1, 2, and the set {3}. The braces around 3 are important because they make {3} one complete element of A. The number 3 by itself is not listed as an element. Also, {1, 3} is not a subset because 3 is not an element of A, and A is not a subset of {1, 2, 3} because {3} differs from 3.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
