If U = {1, 2, 3, 4, 5, 6} and E = {2, 4, 6}, what is E′?
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Answer and explanation
Correct answer: {1, 3, 5}
The complement E′ consists of all elements in the universal set U that are not members of E. Starting with U = {1, 2, 3, 4, 5, 6}, remove the elements 2, 4, and 6 that belong to E. The remaining elements are 1, 3, and 5, so E′ = {1, 3, 5}. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 5}
Why is this the correct answer?
The complement E′ consists of all elements in the universal set U that are not members of E. Starting with U = {1, 2, 3, 4, 5, 6}, remove the elements 2, 4, and 6 that belong to E. The remaining elements are 1, 3, and 5, so E′ = {1, 3, 5}. Therefore, option A 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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