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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 10

If A = {x ∈ ℤ : |x| ≤ 2}, which set is equal to A?

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Answer and explanation

Correct answer: {−2, −1, 0, 1, 2}

The condition |x| ≤ 2 means that x lies between −2 and 2, including both endpoints. Because x must be an integer, the possible values are −2, −1, 0, 1, and 2. Thus A = {−2, −1, 0, 1, 2}. The other choices omit valid integers or include too many numbers, so option A is correct.

Tags

setsabsolute-valueintegersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{−2, −1, 0, 1, 2}

Why is this the correct answer?

The condition |x| ≤ 2 means that x lies between −2 and 2, including both endpoints. Because x must be an integer, the possible values are −2, −1, 0, 1, and 2. Thus A = {−2, −1, 0, 1, 2}. The other choices omit valid integers or include too many numbers, so option A is correct.

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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