If A = {x ∈ ℕ : x ≤ 4} and B = {x ∈ ℤ : 1 ≤ x ≤ 4}, which statement is correct?
Answer and explanation
Correct answer: A = B
Using the usual school convention ℕ = {1, 2, 3, ...}, the condition x ≤ 4 gives A = {1, 2, 3, 4}. For B, the integers satisfying 1 ≤ x ≤ 4 are also {1, 2, 3, 4}. Since two sets are equal when they contain exactly the same elements, A = B. The different stated domains do not matter after the conditions are applied.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Using the usual school convention ℕ = {1, 2, 3, ...}, the condition x ≤ 4 gives A = {1, 2, 3, 4}. For B, the integers satisfying 1 ≤ x ≤ 4 are also {1, 2, 3, 4}. Since two sets are equal when they contain exactly the same elements, A = B. The different stated domains do not matter after the conditions are applied.
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
