If U = {a, b, c, d, e, g, h} and A = {a, e, h}, what is A′?
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Answer and explanation
Correct answer: {b, c, d, g}
The complement A′ is defined with respect to the universal set U. It contains every element of U that is not present in A. Removing a, e, and h from U leaves b, c, d, and g. The element f must not be included because f is not an element of the given universal set U. Therefore, A′ = {b, c, d, g}.
Frequently asked questions
What is the correct answer to this question?
{b, c, d, g}
Why is this the correct answer?
The complement A′ is defined with respect to the universal set U. It contains every element of U that is not present in A. Removing a, e, and h from U leaves b, c, d, and g. The element f must not be included because f is not an element of the given universal set U. Therefore, A′ = {b, c, d, g}.
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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