If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and T = {3, 6, 9}, which element is not in T′?
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Answer and explanation
Correct answer: 6
The complement T′ consists of elements in U that are not in T. Removing 3, 6, and 9 from U gives T′ = {1, 2, 4, 5, 7, 8}. Among the given options, 1, 2, and 8 belong to T′, whereas 6 belongs to T itself. Therefore 6 is the only element that is not in T′, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The complement T′ consists of elements in U that are not in T. Removing 3, 6, and 9 from U gives T′ = {1, 2, 4, 5, 7, 8}. Among the given options, 1, 2, and 8 belong to T′, whereas 6 belongs to T itself. Therefore 6 is the only element that is not in T′, so option C is correct.
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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