If A = {x ∈ ℤ : −1 < x < 1} and B = {0}, which statement is correct?
Answer and explanation
Correct answer: A = B
We need integers strictly greater than −1 and strictly less than 1. The only integer in that open interval is 0; the boundary integers −1 and 1 are excluded because the inequalities are strict. Therefore, A = {0}. Since B is also defined as {0}, the two sets contain exactly the same element and are equal. Thus the correct statement is A = B.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
We need integers strictly greater than −1 and strictly less than 1. The only integer in that open interval is 0; the boundary integers −1 and 1 are excluded because the inequalities are strict. Therefore, A = {0}. Since B is also defined as {0}, the two sets contain exactly the same element and are equal. Thus the correct statement is A = B.
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.
