Which pair does not form equal sets?
Answer and explanation
Correct answer: {x ∈ Z : x² = 16} and {4}
Two sets are equal when they contain exactly the same elements, regardless of the way they are described. In option D, the domain is the integers, so x² = 16 gives x = -4 or x = 4. Thus the first set is {-4, 4}, whereas the second set is {4}; because -4 is missing from the second set, the two sets are not equal. The other three pairs contain the same elements.
Frequently asked questions
What is the correct answer to this question?
{x ∈ Z : x² = 16} and {4}
Why is this the correct answer?
Two sets are equal when they contain exactly the same elements, regardless of the way they are described. In option D, the domain is the integers, so x² = 16 gives x = -4 or x = 4. Thus the first set is {-4, 4}, whereas the second set is {4}; because -4 is missing from the second set, the two sets are not equal. The other three pairs contain the same elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
