If \(A=\{\text{rose},\text{lily}\}\) and \(B=\{\text{lily},\text{lotus},\text{jasmine}\}\), what is \(A\cup B\)?
Answer and explanation
Correct answer: \(\{\text{rose},\text{lily},\text{lotus},\text{jasmine}\}\)
The union \(A\cup B\) contains every distinct element that belongs to either \(A\), \(B\), or both. The elements are rose, lily, lotus, and jasmine. Because lily is common to both sets, it is written only once; repetition is not used in a set. Hence \(A\cup B=\{\text{rose},\text{lily},\text{lotus},\text{jasmine}\}\).
Frequently asked questions
What is the correct answer to this question?
\(\{\text{rose},\text{lily},\text{lotus},\text{jasmine}\}\)
Why is this the correct answer?
The union \(A\cup B\) contains every distinct element that belongs to either \(A\), \(B\), or both. The elements are rose, lily, lotus, and jasmine. Because lily is common to both sets, it is written only once; repetition is not used in a set. Hence \(A\cup B=\{\text{rose},\text{lily},\text{lotus},\text{jasmine}\}\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
