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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 10

If A = {x ∈ R : x < 2} and B = {x ∈ R : x > −1}, what is A ∪ B?

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Answer and explanation

Correct answer: R

A contains every real number less than 2, and B contains every real number greater than −1. If a real number is less than 2, it belongs to A. If it is not less than 2, then it is at least 2 and is certainly greater than −1, so it belongs to B. Thus every real number is covered, and A ∪ B = R.

Tags

setsunionintervalsreal-numbersOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

R

Why is this the correct answer?

A contains every real number less than 2, and B contains every real number greater than −1. If a real number is less than 2, it belongs to A. If it is not less than 2, then it is at least 2 and is certainly greater than −1, so it belongs to B. Thus every real number is covered, and A ∪ B = R.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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