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If A = {x : x ∈ N, x ≤ 4} and B = {3, 4, 5, 6}, where N = {1, 2, 3, ...}, what is A ∪ B?
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Answer and explanation
Correct answer: {1, 2, 3, 4, 5, 6}
The set-builder description A = {x : x ∈ N, x ≤ 4} means that A contains the natural numbers not exceeding 4. With the stated convention N = {1, 2, 3, ...}, A = {1, 2, 3, 4}. Taking the union with B = {3, 4, 5, 6} gives every distinct element from both sets: {1, 2, 3, 4, 5, 6}.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 5, 6}
Why is this the correct answer?
The set-builder description A = {x : x ∈ N, x ≤ 4} means that A contains the natural numbers not exceeding 4. With the stated convention N = {1, 2, 3, ...}, A = {1, 2, 3, 4}. Taking the union with B = {3, 4, 5, 6} gives every distinct element from both sets: {1, 2, 3, 4, 5, 6}.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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