Which set is equal to S = {-2, -1, 0, 1, 2}?
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Answer and explanation
Correct answer: {x : x ∈ Z, x² ≤ 4}
For option A, x² ≤ 4 is equivalent to -2 ≤ x ≤ 2. Restricting x to the integers gives exactly -2, -1, 0, 1, and 2, which are all the elements of S. The other options either restrict x to natural numbers or use strict inequalities that exclude one or both boundary values.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ Z, x² ≤ 4}
Why is this the correct answer?
For option A, x² ≤ 4 is equivalent to -2 ≤ x ≤ 2. Restricting x to the integers gives exactly -2, -1, 0, 1, and 2, which are all the elements of S. The other options either restrict x to natural numbers or use strict inequalities that exclude one or both boundary values.
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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