If A − B means A \ B, which statement is generally false?
Answer and explanation
Correct answer: A \ B = B \ A
Set difference is not commutative. A \ B contains elements of A that are not in B, whereas B \ A contains elements of B that are not in A; these sets can be different. For example, if A = {1, 2} and B = {2, 3}, then A \ B = {1}, while B \ A = {3}. The other three statements are standard identities or inclusion properties.
Frequently asked questions
What is the correct answer to this question?
A \ B = B \ A
Why is this the correct answer?
Set difference is not commutative. A \ B contains elements of A that are not in B, whereas B \ A contains elements of B that are not in A; these sets can be different. For example, if A = {1, 2} and B = {2, 3}, then A \ B = {1}, while B \ A = {3}. The other three statements are standard identities or inclusion properties.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
