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If E = {x ∈ ℕ : x is odd and x < 2}, what is E?

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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.

Tags

setsodd numbersnatural numbersempty setroster formSets and their representationsMathematicsClass 10 MCQ

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.

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