If E = {x ∈ ℕ : x is odd and x < 2}, what is E?
Answer and explanation
Correct answer: E = {1}
Using the usual school convention ℕ = {1, 2, 3, …}, the only natural number less than 2 is 1. Since 1 is odd, it satisfies both conditions and belongs to E. Therefore E contains exactly one element, namely 1, so E = {1}. Option C is correct; the set is not empty.
Frequently asked questions
What is the correct answer to this question?
E = {1}
Why is this the correct answer?
Using the usual school convention ℕ = {1, 2, 3, …}, the only natural number less than 2 is 1. Since 1 is odd, it satisfies both conditions and belongs to E. Therefore E contains exactly one element, namely 1, so E = {1}. Option C is correct; the set is not empty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.