If A = {x : x ∈ ℤ, −3 ≤ x < 2}, how many elements are in A?
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Answer and explanation
Correct answer: 5
Because x is an integer, list every integer from −3 up to but not including 2. The condition −3 ≤ x includes −3, and x < 2 excludes 2. Thus A = {−3, −2, −1, 0, 1}. Counting these elements gives 5. The set is finite, not infinite, so option B is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Because x is an integer, list every integer from −3 up to but not including 2. The condition −3 ≤ x includes −3, and x < 2 excludes 2. Thus A = {−3, −2, −1, 0, 1}. Counting these elements gives 5. The set is finite, not infinite, so option B is the only 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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