If A = {red, blue} and B = {blue, green}, what is A ∩ B?
Answer and explanation
Correct answer: {blue}
An intersection contains only the elements common to both sets. Set A contains red and blue, while set B contains blue and green. The only name appearing in both sets is blue. Therefore, A ∩ B = {blue}. Option A lists an element found only in A, option C lists an element found only in B, and option D incorrectly combines all elements as a union. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
{blue}
Why is this the correct answer?
An intersection contains only the elements common to both sets. Set A contains red and blue, while set B contains blue and green. The only name appearing in both sets is blue. Therefore, A ∩ B = {blue}. Option A lists an element found only in A, option C lists an element found only in B, and option D incorrectly combines all elements as a union. Hence option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
