If C = {x : x ∈ ℤ, −3 ≤ x ≤ 3}, what is the value of n(C)?
Answer and explanation
Correct answer: 7 (सात)
Since x must be an integer and must lie between −3 and 3, the elements of C are −3, −2, −1, 0, 1, 2, and 3. Counting them gives seven distinct elements. Therefore, C is a finite set and its cardinality, denoted by n(C), is 7. The inclusive signs ≤ ensure that both boundary values, −3 and 3, are included.
Frequently asked questions
What is the correct answer to this question?
7 (सात)
Why is this the correct answer?
Since x must be an integer and must lie between −3 and 3, the elements of C are −3, −2, −1, 0, 1, 2, and 3. Counting them gives seven distinct elements. Therefore, C is a finite set and its cardinality, denoted by n(C), is 7. The inclusive signs ≤ ensure that both boundary values, −3 and 3, are included.
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.
