If A = {x : x = n/(n + 1), n ∈ ℕ, 1 ≤ n ≤ 4}, which is the roster form of A?
Answer and explanation
Correct answer: A = {1/2, 2/3, 3/4, 4/5}
To convert the set-builder form into roster form, substitute every permitted natural-number value of n into x = n/(n + 1). For n = 1, 2, 3, and 4, the values are respectively 1/2, 2/3, 3/4, and 4/5. Listing these distinct values gives A = {1/2, 2/3, 3/4, 4/5}. Option B reverses the fractions, while C and D do not use the stated formula correctly.
Frequently asked questions
What is the correct answer to this question?
A = {1/2, 2/3, 3/4, 4/5}
Why is this the correct answer?
To convert the set-builder form into roster form, substitute every permitted natural-number value of n into x = n/(n + 1). For n = 1, 2, 3, and 4, the values are respectively 1/2, 2/3, 3/4, and 4/5. Listing these distinct values gives A = {1/2, 2/3, 3/4, 4/5}. Option B reverses the fractions, while C and D do not use the stated formula correctly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
