If A = {x ∈ ℤ : -2 ≤ x ≤ 2}, what is A?
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Answer and explanation
Correct answer: {-2, -1, 0, 1, 2}
The symbol ℤ denotes the set of all integers, not all real numbers. We therefore list the integers satisfying -2 ≤ x ≤ 2, including both endpoints because the inequalities allow equality. These integers are -2, -1, 0, 1, and 2. Hence A = {-2, -1, 0, 1, 2}.
Frequently asked questions
What is the correct answer to this question?
{-2, -1, 0, 1, 2}
Why is this the correct answer?
The symbol ℤ denotes the set of all integers, not all real numbers. We therefore list the integers satisfying -2 ≤ x ≤ 2, including both endpoints because the inequalities allow equality. These integers are -2, -1, 0, 1, and 2. Hence A = {-2, -1, 0, 1, 2}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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