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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

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

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Answer and explanation

Correct answer: 5

Because x is an integer and both inequalities are strict, −3 and 3 are excluded. The integers strictly between them are −2, −1, 0, 1, and 2. Counting this list gives five distinct elements. Therefore, the cardinality of the set is 5, so option B is the correct answer.

Tags

setscardinalityintegersfinite setThe 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?

Because x is an integer and both inequalities are strict, −3 and 3 are excluded. The integers strictly between them are −2, −1, 0, 1, and 2. Counting this list gives five distinct elements. Therefore, the cardinality of the set is 5, so option B is the correct answer.

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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