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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

How many elements are in the set A = {x ∈ ℤ : |x| < 3}?

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Answer and explanation

Correct answer: 5

For an integer x, the inequality |x| < 3 means that x lies strictly between −3 and 3. The integers in this interval are −2, −1, 0, 1, and 2. The endpoints −3 and 3 are excluded because the inequality is strict. Thus A = {−2, −1, 0, 1, 2}, which contains five distinct elements.

Tags

setsfinite-setabsolute-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?

5

Why is this the correct answer?

For an integer x, the inequality |x| < 3 means that x lies strictly between −3 and 3. The integers in this interval are −2, −1, 0, 1, and 2. The endpoints −3 and 3 are excluded because the inequality is strict. Thus A = {−2, −1, 0, 1, 2}, which contains five distinct elements.

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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