If A = {1, 2, 3}, which statement about {1, 3} is correct?
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Answer and explanation
Correct answer: {1, 3} ⊆ A
A subset contains only elements that are present in the larger set. The elements of {1, 3} are 1 and 3, and both occur in A = {1, 2, 3}. Therefore {1, 3} ⊆ A. It is not equal to A because A also contains 2. Option D is false because 2 is not an element of {1, 3}, while option C reverses the subset relation.
Frequently asked questions
What is the correct answer to this question?
{1, 3} ⊆ A
Why is this the correct answer?
A subset contains only elements that are present in the larger set. The elements of {1, 3} are 1 and 3, and both occur in A = {1, 2, 3}. Therefore {1, 3} ⊆ A. It is not equal to A because A also contains 2. Option D is false because 2 is not an element of {1, 3}, while option C reverses the subset relation.
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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