If A = {1, 2, 3, 4} and B = {3, 4, 5}, which statement is correct?
Answer and explanation
Correct answer: Neither A ⊆ B nor B ⊆ A is true.
For A to be a subset of B, every element of A must occur in B. This fails because 1 and 2 belong to A but not to B. Similarly, B is not a subset of A because 5 belongs to B but not to A. The sets have common elements, 3 and 4, but sharing some elements is not sufficient for a subset relation. Hence option D is correct.
Frequently asked questions
What is the correct answer to this question?
Neither A ⊆ B nor B ⊆ A is true.
Why is this the correct answer?
For A to be a subset of B, every element of A must occur in B. This fails because 1 and 2 belong to A but not to B. Similarly, B is not a subset of A because 5 belongs to B but not to A. The sets have common elements, 3 and 4, but sharing some elements is not sufficient for a subset relation. Hence option D is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
