Which option cannot represent B₁ = {x ∈ ℝ : 1 < x < 4}?
Answer and explanation
Correct answer: {2, 3}
B₁ contains every real number strictly between 1 and 4, including numbers such as 1.5, 2.25, and 3.9. It is an infinite set, so its members cannot be completely listed in an ordinary finite roster. The interval notation (1, 4) and the given set-builder notation describe it correctly, but {2, 3} contains only two members and omits infinitely many others.
Frequently asked questions
What is the correct answer to this question?
{2, 3}
Why is this the correct answer?
B₁ contains every real number strictly between 1 and 4, including numbers such as 1.5, 2.25, and 3.9. It is an infinite set, so its members cannot be completely listed in an ordinary finite roster. The interval notation (1, 4) and the given set-builder notation describe it correctly, but {2, 3} contains only two members and omits infinitely many others.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
