If U = {x ∈ N : x ≤ 12} and A = {x ∈ U : 3 divides x}, what is A'?
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Answer and explanation
Correct answer: {1, 2, 4, 5, 7, 8, 10, 11}
Taking N here as the positive natural numbers, U = {1,2,3,4,5,6,7,8,9,10,11,12}. The multiples of 3 in U are A = {3,6,9,12}. The complement A' contains every element of U that is not a multiple of 3, namely {1,2,4,5,7,8,10,11}. Therefore option B is correct; it has 12 − 4 = 8 elements.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 4, 5, 7, 8, 10, 11}
Why is this the correct answer?
Taking N here as the positive natural numbers, U = {1,2,3,4,5,6,7,8,9,10,11,12}. The multiples of 3 in U are A = {3,6,9,12}. The complement A' contains every element of U that is not a multiple of 3, namely {1,2,4,5,7,8,10,11}. Therefore option B is correct; it has 12 − 4 = 8 elements.
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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