If A = {5, 6}, which statement is correct?
Answer and explanation
Correct answer: {5} ⊆ A and {5} ∈ P(A)
The set {5} is a subset of A because its only element, 5, belongs to A. Every subset of A is an element of the power set P(A), so {5} ∈ P(A). However, 5 itself is not generally an element of P(A); the power set contains sets, not the original elements directly. Also, 7 is not in A, and P(A) is not equal to A.
Frequently asked questions
What is the correct answer to this question?
{5} ⊆ A and {5} ∈ P(A)
Why is this the correct answer?
The set {5} is a subset of A because its only element, 5, belongs to A. Every subset of A is an element of the power set P(A), so {5} ∈ P(A). However, 5 itself is not generally an element of P(A); the power set contains sets, not the original elements directly. Also, 7 is not in A, and P(A) is not equal to A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
