DIFFERENCE OF TWO SET
Let A & B be any two sets, then the difference of A & B is the set of elements which belongs to A but not to B and this is denoted by A – B
We can write A – B = { x : x ∈ A and x ∉ B }
Similarly, B – A = { x : x ∈ B and x ∉ A }
Example.1)
Let A = { 2, 4, 6, 8 }, and B = { 1, 2, 3, 4, 5 } then find A – B = ? and B – A = ?
Ans.) as per the given condition A = { 2, 4, 6, 8 }, and B = { 1, 2, 3, 4, 5 }
So, A – B = { 2, 4, 6, 8 } - { 1, 2, 3, 4, 5 }
( As we know that, the elements which belong to A but not to B are the difference between A – B )
A – B = { 2, 4, 6, 8 } - { 1, 2, 3, 4, 5 } = { 6, 8 }
And with same condition like A = { 2, 4, 6, 8 } and B = { 1, 2, 3, 4, 5 }, we have to find B – A
So, B – A = { 1, 2, 3, 4, 5 } - { 2, 4, 6, 8 }
( As we know that, the elements which belong to B but not to A are the difference between B – A )
B – A = { 1, 2, 3, 4, 5 } - { 2, 4, 6, 8 } = { 1, 3, 5 }