If A={p,q,r} and B={q,r,s,t}, what is the set of elements that belong only to B?
Answer and explanation
Correct answer: {s,t}
“Only in B” means the set difference B − A: retain elements of B and remove every element also found in A. Since q and r are common to both sets, removing them from B={q,r,s,t} leaves {s,t}. Thus B − A = {s,t}, so option C is correct. Option B is the intersection, and option D is the union; neither represents elements exclusive to B.
Frequently asked questions
What is the correct answer to this question?
{s,t}
Why is this the correct answer?
“Only in B” means the set difference B − A: retain elements of B and remove every element also found in A. Since q and r are common to both sets, removing them from B={q,r,s,t} leaves {s,t}. Thus B − A = {s,t}, so option C is correct. Option B is the intersection, and option D is the union; neither represents elements exclusive to B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
