If A = {1, 2, {3, 4}}, which of the following is a subset of A?
Answer and explanation
Correct answer: {2, {3, 4}}
A has three elements: the number 1, the number 2, and the set {3, 4}. A set C is a subset of A when every element of C is also an element of A. In option B, the elements are 2 and {3, 4}; both occur directly in A, so B is a subset of A. In option A, 3 is not an element of A; only the set {3, 4} is present. Similarly, 4 and {3} are not direct elements of A in option D.
Frequently asked questions
What is the correct answer to this question?
{2, {3, 4}}
Why is this the correct answer?
A has three elements: the number 1, the number 2, and the set {3, 4}. A set C is a subset of A when every element of C is also an element of A. In option B, the elements are 2 and {3, 4}; both occur directly in A, so B is a subset of A. In option A, 3 is not an element of A; only the set {3, 4} is present. Similarly, 4 and {3} are not direct elements of A in option D.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
