In which situation will A and B not be equal?
Answer and explanation
Correct answer: A = {0}, B = ∅
Set equality depends on the elements present, not their order, repetition, or notation. Thus options A and B describe equal sets: order is irrelevant and repeated 1 is listed only once. Option C also gives two forms of the empty set. In option D, A contains the element 0, whereas B contains no element, so they are not equal.
Frequently asked questions
What is the correct answer to this question?
A = {0}, B = ∅
Why is this the correct answer?
Set equality depends on the elements present, not their order, repetition, or notation. Thus options A and B describe equal sets: order is irrelevant and repeated 1 is listed only once. Option C also gives two forms of the empty set. In option D, A contains the element 0, whereas B contains no element, so they are not equal.
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.
