If A = {x : x ∈ Z and −2 ≤ x < 2}, which set is equal to A?
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Answer and explanation
Correct answer: {−2, −1, 0, 1}
Because x must be an integer, we list the integers beginning at −2 and less than 2: −2, −1, 0, and 1. The symbol ≤ includes −2, whereas the symbol < excludes 2. Hence A = {−2, −1, 0, 1}, which is exactly option A. The order of elements does not affect equality of sets.
Frequently asked questions
What is the correct answer to this question?
{−2, −1, 0, 1}
Why is this the correct answer?
Because x must be an integer, we list the integers beginning at −2 and less than 2: −2, −1, 0, and 1. The symbol ≤ includes −2, whereas the symbol < excludes 2. Hence A = {−2, −1, 0, 1}, which is exactly option A. The order of elements does not affect equality of sets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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