If A = {4, 5, 6}, which set is not a subset of A?
Answer and explanation
Correct answer: {4, 7}
For a set B to be a subset of A, every element of B must belong to A. In option A, {4, 7} contains 7, but 7 is not in A = {4, 5, 6}; hence it is not a subset. The set {4} and the set {5, 6} contain only elements of A. The empty set is also a subset of every set, so option A is the unique answer.
Frequently asked questions
What is the correct answer to this question?
{4, 7}
Why is this the correct answer?
For a set B to be a subset of A, every element of B must belong to A. In option A, {4, 7} contains 7, but 7 is not in A = {4, 5, 6}; hence it is not a subset. The set {4} and the set {5, 6} contain only elements of A. The empty set is also a subset of every set, so option A is the unique answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.