If A = {x ∈ N : x < 5} and B = {1, 2, 3, 4, 5}, which statement is correct?
Advertisement
Answer and explanation
Correct answer: A ⊆ B and A ≠ B
Using the usual school convention N = {1, 2, 3, ...}, the condition x < 5 gives A = {1, 2, 3, 4}. Every element of A occurs in B, so A is a subset of B. However, B also contains 5, which is not in A; therefore the two sets are not equal and B is not a subset of A. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B and A ≠ B
Why is this the correct answer?
Using the usual school convention N = {1, 2, 3, ...}, the condition x < 5 gives A = {1, 2, 3, 4}. Every element of A occurs in B, so A is a subset of B. However, B also contains 5, which is not in A; therefore the two sets are not equal and B is not a subset of A. Hence option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement