If A = {a, c, e, g, i} and B = {b, c, d, g, h}, what is A \ B?
Answer and explanation
Correct answer: {a, e, i}
A \ B contains elements that are in A but not in B. The elements c and g occur in both sets, so they must be removed from A. The remaining elements are a, e, and i; therefore A \ B = {a, e, i}. Option B is A ∩ B, the common part. Option C is B \ A, and option D is A ∪ B, so neither represents the required difference.
Frequently asked questions
What is the correct answer to this question?
{a, e, i}
Why is this the correct answer?
A \ B contains elements that are in A but not in B. The elements c and g occur in both sets, so they must be removed from A. The remaining elements are a, e, and i; therefore A \ B = {a, e, i}. Option B is A ∩ B, the common part. Option C is B \ A, and option D is A ∪ B, so neither represents the required 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).
