if A = {10,11,12} and B = {13,14}, what is A - B?
The set {A-B} contains all elements that are in A but not in B. It removes all elements of B from A.
But in this case, there are no common elements, hence, A-B = A = {10,11,12}
Mathematically,
A - B = A - (A ∩ B)
To find the set difference between sets A and B, which is denoted as A - B, you need to find the elements that belong to set A but do not belong to set B. In this case, A = {10, 11, 12} and B = {13, 14}.
To solve A - B, you need to remove any elements from A that are also present in B.
A = {10, 11, 12}
B = {13, 14}
Since there are no common elements between A and B, the result of A - B will be the same as set A.
Therefore, A - B = {10, 11, 12}.