LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

DIFFERENCE BETWEEN TWO SETS

**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 } **