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’ .