Are {1, {2, 3}} and {1, 2, 3} equal sets?
Answer and explanation
Correct answer: No, because {2, 3} is a single different element
The first set has exactly two elements: the number 1 and the set {2, 3}. The second set has three elements: the numbers 1, 2, and 3. Although the inner set contains 2 and 3, it is itself one element of the first set; it is not automatically replaced by its members. Therefore the sets are not equal, and option B is correct.
Frequently asked questions
What is the correct answer to this question?
No, because {2, 3} is a single different element
Why is this the correct answer?
The first set has exactly two elements: the number 1 and the set {2, 3}. The second set has three elements: the numbers 1, 2, and 3. Although the inner set contains 2 and 3, it is itself one element of the first set; it is not automatically replaced by its members. Therefore the sets are not equal, and option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, many more. Step 3: Hence the set is infinite..
