If P = {x : x ∈ N, x < 5} and Q = {2, 4, 6}, which set is P ∪ Q?
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Answer and explanation
Correct answer: {1, 2, 3, 4, 6}
First convert P from set-builder form into roster form. Taking N as the positive natural numbers, x < 5 gives P = {1, 2, 3, 4}. The union includes every distinct element of P and Q. Since 2 and 4 are already present in P, they are not repeated; adding 6 gives P ∪ Q = {1, 2, 3, 4, 6}.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 6}
Why is this the correct answer?
First convert P from set-builder form into roster form. Taking N as the positive natural numbers, x < 5 gives P = {1, 2, 3, 4}. The union includes every distinct element of P and Q. Since 2 and 4 are already present in P, they are not repeated; adding 6 gives P ∪ Q = {1, 2, 3, 4, 6}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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