If A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6}, and C = {1, 2, 3}, what is B − C?
Answer and explanation
Correct answer: {4, 6}
The difference B − C contains elements that are in B but not in C. Set B is {2, 4, 6}; among these, 2 also belongs to C and must be removed. The elements 4 and 6 are not in C, so they remain. Therefore B − C = {4, 6}. The set A is extra information here and does not affect the requested difference.
Frequently asked questions
What is the correct answer to this question?
{4, 6}
Why is this the correct answer?
The difference B − C contains elements that are in B but not in C. Set B is {2, 4, 6}; among these, 2 also belongs to C and must be removed. The elements 4 and 6 are not in C, so they remain. Therefore B − C = {4, 6}. The set A is extra information here and does not affect the requested difference.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).