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 consists of elements that belong to A but do not belong to B. In A = {a, b, c, d}, the elements b and d are also in B, so they are removed. The elements a and c are not in B and remain. Hence A − B = {a, c}. Notice that set difference is order-sensitive; B − A would give a different result.
Frequently asked questions
What is the correct answer to this question?
{a, c}
Why is this the correct answer?
The difference A − B consists of elements that belong to A but do not belong to B. In A = {a, b, c, d}, the elements b and d are also in B, so they are removed. The elements a and c are not in B and remain. Hence A − B = {a, c}. Notice that set difference is order-sensitive; B − A would give a different result.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
