LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

EQUAL SET

__Equal Set__

**Two set will be identified as a Equal set when every member
of set is a member of another set. Suppose Set -**

** ‘X’ = { 2, 3, 4, 5, 6, 7, 8 }, **

** ‘Y’ = { 2, 3, 4, 5, 6, 7, 8 } & **

** ‘Z’ = { 2, 3,
4, 5, 6, 7, 8, 9, 11 }**

**We can see from the above set X & Y, every member
of Set ‘X’ belongs to set ‘Y’, so X ****⊆**** Y**

**And every member of set ‘Y’ belongs to set ‘X’, so Y ****⊆**** X. So,
‘X’ = ‘Y’**

**If we observe between set ‘Y’ & ‘Z’, then we can
find that, all the members of set ‘Y’ = { ****2, 3, 4, 5, 6, 7, 8 ****}
belong to set ‘Z’. **

**Whereas 9 ****ϵ**** Z but 9 ****∉**** Y, and 11 ****ϵ**** Z but 11 ****∉**** Y **

**So, ‘Y’ ≠ ‘Z’ .**

**Similarly , we can find that set ‘X’ & ‘Z’, then we
can find that, all the members of set ‘X’ = { ****2, 3, 4, 5, 6, 7, 8**** }
belong to set ‘Z’. **

**Whereas 9 ****ϵ**** Z but 9 ****∉**** X,
and 11 ****ϵ**** Z
but 11 ****∉**** X **

**So, ‘X’ ≠ ‘Z’ .**