If N = {x : x ∈ Z, -2 ≤ x < 3} and O = {-2, -1, 0, 1, 2}, which statement is true?
Answer and explanation
Correct answer: N = O
The condition -2 ≤ x < 3 includes the integer -2 because the left inequality is inclusive, and excludes 3 because the right inequality is strict. The integers in this interval are -2, -1, 0, 1, and 2. This is exactly the roster given for O. Since two sets are equal when they have precisely the same elements, N = O.
Frequently asked questions
What is the correct answer to this question?
N = O
Why is this the correct answer?
The condition -2 ≤ x < 3 includes the integer -2 because the left inequality is inclusive, and excludes 3 because the right inequality is strict. The integers in this interval are -2, -1, 0, 1, and 2. This is exactly the roster given for O. Since two sets are equal when they have precisely the same elements, N = O.
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.
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