How many elements are there in the set B = {x : x ∈ ℤ, −3 ≤ x ≤ 3}?
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Answer and explanation
Correct answer: 7
The condition includes every integer from −3 through 3, including both endpoints. Therefore, B = {−3, −2, −1, 0, 1, 2, 3}. Counting these distinct integers gives 7 elements. Since the interval is bounded and contains only finitely many integers, B is a finite set. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The condition includes every integer from −3 through 3, including both endpoints. Therefore, B = {−3, −2, −1, 0, 1, 2, 3}. Counting these distinct integers gives 7 elements. Since the interval is bounded and contains only finitely many integers, B is a finite set. Hence option B 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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