If U = {a, b, c, e} and A = {a, b, c, d}, what issue arises before finding A′ with respect to U?
Answer and explanation
Correct answer: A ⊆ U is false
A complement relative to U is normally introduced for a set A that is contained in U. Here A contains d, but d is not an element of U; instead, U contains e, which is not in A. Thus A is not a subset of U, so the stated complement setup is invalid under the usual school-level definition. The other options are false: U is not a subset of A, A is not equal to U, and A is not empty.
Frequently asked questions
What is the correct answer to this question?
A ⊆ U is false
Why is this the correct answer?
A complement relative to U is normally introduced for a set A that is contained in U. Here A contains d, but d is not an element of U; instead, U contains e, which is not in A. Thus A is not a subset of U, so the stated complement setup is invalid under the usual school-level definition. The other options are false: U is not a subset of A, A is not equal to U, and A is not empty.
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.
