If A = {0}, which statement is correct?
Answer and explanation
Correct answer: ∅ ⊆ A / The empty set is a subset of A
The set A = {0} contains one element, namely 0, so A is not empty. The empty set ∅ is a subset of every set, including {0}; therefore ∅ ⊆ A is true. The expression 0 ⊆ A is not the correct subset statement because 0 is an element, not a set in this context. Also, {1} is not a subset because 1 does not belong to A.
Frequently asked questions
What is the correct answer to this question?
∅ ⊆ A / The empty set is a subset of A
Why is this the correct answer?
The set A = {0} contains one element, namely 0, so A is not empty. The empty set ∅ is a subset of every set, including {0}; therefore ∅ ⊆ A is true. The expression 0 ⊆ A is not the correct subset statement because 0 is an element, not a set in this context. Also, {1} is not a subset because 1 does not belong to A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
