If A = {1, 3, 5} and B = {1, 2, 3, 4}, why is A not a subset of B?
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Answer and explanation
Correct answer: 5 is not in set B
For A to be a subset of B, every element of A must also appear in B. The elements 1 and 3 are present in B, but 5 is absent from B. A single missing element is enough to make the subset statement false. Therefore A ⊄ B because 5 ∉ B. The set A is not empty; it has three elements.
Frequently asked questions
What is the correct answer to this question?
5 is not in set B
Why is this the correct answer?
For A to be a subset of B, every element of A must also appear in B. The elements 1 and 3 are present in B, but 5 is absent from B. A single missing element is enough to make the subset statement false. Therefore A ⊄ B because 5 ∉ B. The set A is not empty; it has three elements.
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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