Difference of Two Sets Calculation
for example : 2,3,5,8,10
The difference of set B in set A is the complement of B in A.
If A and B are any two sets, then the relative complement of B in A is the set of all elements in A which are not in B.
It is denoted by A - B. Difference of two sets A and B, A - B is a set whose elements belong to A but not to B.
A - B is also called the relative complement of B
Example
Find A – B and B – A for given values :
A = {2, 3, 5, 8, 10, 15} and
B = {7, 8, 10, 12, 13}.
Solution:
The given values,
A = {2, 3, 5, 8, 10, 15}
B = {7, 8, 10, 12, 13}
A – B = {2, 3, 5, 15} since the elements 2, 3, 5, 15 are there in A but not in B.
Similarly,
B – A = {7,12,13}, since the elements 7, 12, 13 belong to B and not to A.
Therefore, we can say that A – B ≠ B – A.