If U = {x ∈ N : 1 ≤ x ≤ 10} and P = {2, 3, 5, 7}, what is P′?
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Answer and explanation
Correct answer: {1, 4, 6, 8, 9, 10}
The complement P′ contains every element of the universal set U that is not in P. Here, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, while P = {2, 3, 5, 7}. Removing the elements of P from U leaves {1, 4, 6, 8, 9, 10}. Notice that 1 is included because 1 is not a prime number.
Frequently asked questions
What is the correct answer to this question?
{1, 4, 6, 8, 9, 10}
Why is this the correct answer?
The complement P′ contains every element of the universal set U that is not in P. Here, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, while P = {2, 3, 5, 7}. Removing the elements of P from U leaves {1, 4, 6, 8, 9, 10}. Notice that 1 is included because 1 is not a prime number.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
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