Which option gives a pair in which both sets are finite but not equal?
Answer and explanation
Correct answer: A = {x ∈ Z : x² = 1}, B = {1}
For option B, solving x² = 1 over the integers gives x = −1 or x = 1. Thus A = {−1, 1}, which has two elements, while B = {1}, which has one element. Both sets are finite, but they are not equal because −1 belongs to A and does not belong to B. Option A describes equal sets, option C has an infinite first set, and option D has two equal empty sets.
Frequently asked questions
What is the correct answer to this question?
A = {x ∈ Z : x² = 1}, B = {1}
Why is this the correct answer?
For option B, solving x² = 1 over the integers gives x = −1 or x = 1. Thus A = {−1, 1}, which has two elements, while B = {1}, which has one element. Both sets are finite, but they are not equal because −1 belongs to A and does not belong to B. Option A describes equal sets, option C has an infinite first set, and option D has two equal empty sets.
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.
