If A = {1, 4, 9, 16, 25} and B = {4, 16, 36}, what is B \ A?
Answer and explanation
Correct answer: {36}
B \ A means that we keep the elements of B that are not present in A. The elements 4 and 16 occur in both A and B, so they are removed from B. The element 36 occurs in B but not in A, so it remains. Therefore B \ A = {36}. Option B is the intersection A ∩ B, while option D would be correct only if every element of B were also in A.
Frequently asked questions
What is the correct answer to this question?
{36}
Why is this the correct answer?
B \ A means that we keep the elements of B that are not present in A. The elements 4 and 16 occur in both A and B, so they are removed from B. The element 36 occurs in B but not in A, so it remains. Therefore B \ A = {36}. Option B is the intersection A ∩ B, while option D would be correct only if every element of B were also in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
