If A = {a, b}, which statement is correct?
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Answer and explanation
Correct answer: {a} ⊆ A
The set A contains the elements a and b. The set {a} is a singleton set containing only a. Since a is an element of A, every element of {a} belongs to A; therefore {a} ⊆ A is true. In contrast, {c} and {a, c} contain c, which is not in A. Also, a is an element, not a set, so writing a ⊆ A is not correct here.
Frequently asked questions
What is the correct answer to this question?
{a} ⊆ A
Why is this the correct answer?
The set A contains the elements a and b. The set {a} is a singleton set containing only a. Since a is an element of A, every element of {a} belongs to A; therefore {a} ⊆ A is true. In contrast, {c} and {a, c} contain c, which is not in A. Also, a is an element, not a set, so writing a ⊆ A is not correct here.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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