RELATIONSHIPS BETWEEN
SETS
1.
ONE-TO-ONE- CORRESPONDENTS
Set A and set B are said to be ONE-TO-ONE- CORRESPONDENTS if
each element in each set corresponds with each other.
Illustrations:
A ={a, b, c}
B = {1,2,3}
Set A has 3 elements so as
set B.
2. EQUIVALENT SET
Set A and set B are said to be EQUIVALENT SET if each every element in each set can be found in
the other set. Also can be a one-to-one- correspondents.
Illustrations:
A ={a, b, c}
B ={1, 2, 3}
Or
C = {1,2,3}
D = {a,d,e}
3. EQUIVALENT SET
Set A and set B are said to be EQUIVALENT SET if each every
element in each set can be
found in the other set.
Illustrations:
A ={a, b, c}
B ={a, b, c}
Or
C = {1,2,3}
D = {3,2,1}
4.
PROPER SUBSET
Set A and set B are said to be EQUIVALENT SET if each
element of A is an element of B and vice-
versa. And every set is a subset of
itself.
Illustrations:
A ={a, b, c}
B ={a, b, c, d}
Therefore: A ⊆ B
but B ⊄ A
Note: “⊄” read as not a subset
of
5.
OVERLAPPING SETS
Set A and set B are said to be OVERLAPPING SETS if some. Meaning not all elements
of the other set can be found in another set and vice-versa.
Illustrations:
A ={a, b, c,e}
B ={a, b, c, d}
Note: only a,b,c are their some common elements.
6.
DISJOINT SETS
Set A and set B are said to be DISJOINT SETS if each set has
no common elements.
Illustrations:
A ={a, b, c, e}
B ={1, 2, 3, 4, 5}
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