If A = {x : x ∈ N, x ≤ 5} and B = {3, 4, 5, 6}, what is A ∪ B?
Answer and explanation
Correct answer: {1, 2, 3, 4, 5, 6}
Assuming N denotes the positive natural numbers, the condition x ≤ 5 gives A = {1, 2, 3, 4, 5}. The union A ∪ B contains every distinct element belonging to either set. Combining A with B = {3, 4, 5, 6} gives {1, 2, 3, 4, 5, 6}; repeated elements are written only once. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 5, 6}
Why is this the correct answer?
Assuming N denotes the positive natural numbers, the condition x ≤ 5 gives A = {1, 2, 3, 4, 5}. The union A ∪ B contains every distinct element belonging to either set. Combining A with B = {3, 4, 5, 6} gives {1, 2, 3, 4, 5, 6}; repeated elements are written only once. Therefore, option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
