If A = {p, q, r, s}, B = {r, s, t}, and C = {s, t, u}, what is A ∩ (B ∪ C)?
Answer and explanation
Correct answer: {r, s}
First evaluate the expression inside the parentheses. B ∪ C = {r, s, t, u}, because all distinct elements from B and C are included. Now intersect this result with A = {p, q, r, s}. The elements common to A and {r, s, t, u} are r and s only. Hence, A ∩ (B ∪ C) = {r, s}. The parentheses must be handled before taking the intersection.
Frequently asked questions
What is the correct answer to this question?
{r, s}
Why is this the correct answer?
First evaluate the expression inside the parentheses. B ∪ C = {r, s, t, u}, because all distinct elements from B and C are included. Now intersect this result with A = {p, q, r, s}. The elements common to A and {r, s, t, u} are r and s only. Hence, A ∩ (B ∪ C) = {r, s}. The parentheses must be handled before taking the intersection.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
