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Class 10MathematicsSetsSets and their representationsMediumLevel 4

If E = {x ∈ ℕ : 2x − 1 ≤ 9}, what is the roster form of E?

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Answer and explanation

Correct answer: E = {1, 2, 3, 4, 5}

Solve the defining inequality: 2x − 1 ≤ 9 gives 2x ≤ 10 and hence x ≤ 5. Since x belongs to the natural numbers, and natural numbers here are taken as 1, 2, 3, …, the possible values are 1, 2, 3, 4, and 5. Thus the roster form is E = {1, 2, 3, 4, 5}. The equality sign includes 5.

Tags

setsroster forminequalitiesnatural numbersSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

E = {1, 2, 3, 4, 5}

Why is this the correct answer?

Solve the defining inequality: 2x − 1 ≤ 9 gives 2x ≤ 10 and hence x ≤ 5. Since x belongs to the natural numbers, and natural numbers here are taken as 1, 2, 3, …, the possible values are 1, 2, 3, 4, and 5. Thus the roster form is E = {1, 2, 3, 4, 5}. The equality sign includes 5.

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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