If A = {∅, {1}}, then which of the following is a subset of A?
Answer and explanation
Correct answer: {∅}
The set A has exactly two elements: ∅ and {1}. For a set to be a subset of A, every element of that set must itself be an element of A. In {∅}, the only element is ∅, and ∅ belongs to A; therefore {∅} ⊆ A. In contrast, the sole elements of {1}, {{2}}, and {0} are 1, {2}, and 0 respectively, none of which belongs to A.
Frequently asked questions
What is the correct answer to this question?
{∅}
Why is this the correct answer?
The set A has exactly two elements: ∅ and {1}. For a set to be a subset of A, every element of that set must itself be an element of A. In {∅}, the only element is ∅, and ∅ belongs to A; therefore {∅} ⊆ A. In contrast, the sole elements of {1}, {{2}}, and {0} are 1, {2}, and 0 respectively, none of which belongs to A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
