If A = {x ∈ ℤ : −3 < x < 3}, what is n(A)?
Answer and explanation
Correct answer: 5 — पाँच
Because x must be an integer strictly greater than −3 and strictly less than 3, the boundary values −3 and 3 are excluded. The integers satisfying the condition are −2, −1, 0, 1, and 2. Thus, A has five distinct elements, so its cardinality is n(A) = 5. The notation n(A) means the number of elements in set A.
Frequently asked questions
What is the correct answer to this question?
5 — पाँच
Why is this the correct answer?
Because x must be an integer strictly greater than −3 and strictly less than 3, the boundary values −3 and 3 are excluded. The integers satisfying the condition are −2, −1, 0, 1, and 2. Thus, A has five distinct elements, so its cardinality is n(A) = 5. The notation n(A) means the number of elements in set A.
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.
