What is the correct reason for identifying {2,5} as a subset of A={1,2,3,4,5}?
Answer and explanation
Correct answer: Because both 2 and 5 are in A
Subset status depends on membership, not on addition or on merely comparing the numbers of elements. The set {2,5} is a subset of A because its only elements are 2 and 5, and both of them occur in A={1,2,3,4,5}. Therefore every element of {2,5} belongs to A, so {2,5}⊆A. The size of either set alone is not sufficient evidence.
Frequently asked questions
What is the correct answer to this question?
Because both 2 and 5 are in A
Why is this the correct answer?
Subset status depends on membership, not on addition or on merely comparing the numbers of elements. The set {2,5} is a subset of A because its only elements are 2 and 5, and both of them occur in A={1,2,3,4,5}. Therefore every element of {2,5} belongs to A, so {2,5}⊆A. The size of either set alone is not sufficient evidence.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
