If A = {a, b, c, d} and B = {b, d, e}, what is A − B?
Answer and explanation
Correct answer: {a, c}
The difference A − B contains elements that belong to A but do not belong to B. Starting with A = {a, b, c, d}, remove b and d because both are also in B = {b, d, e}. The element e is not in A, so it cannot appear in A − B. The remaining elements are a and c, giving A − B = {a, c}.
Frequently asked questions
What is the correct answer to this question?
{a, c}
Why is this the correct answer?
The difference A − B contains elements that belong to A but do not belong to B. Starting with A = {a, b, c, d}, remove b and d because both are also in B = {b, d, e}. The element e is not in A, so it cannot appear in A − B. The remaining elements are a and c, giving A − B = {a, c}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).