- Intersection of Sets
If A and B are any two sets, then the intersection of these two sets denoted as
A^ ∩^ B is the set of elements which are common to both the sets A and B.
Eg. : If A = {1, 2, 3, 4}
B = {2, 3, 5}
Then, A^ ∩^ B = { 2, 3}
To enable the child to understand the concept, provide two sets of objects such that
there are some objects common in both the sets, say for instance, a pen, pencil,
eraser in one hand and a pencil, scale, stylus on the other hand. On exploration, the
child will be able to realize that, one object namely, the pencil is common in both the
sets and hence the intersection of two sets is the pencil.
- Overlapping Sets
Two sets are said to be overlapping if there exists at least one element common in
both the sets. Note that overlapping/non-overlapping is just a literary description
and has no definite symbols.
Eg.: If A = {3, 4, 5}
B = {4, 6, 8}
In the above two sets, the element 4 is common in both the sets and hence the sets
A and B are overlapping sets.
- Non-Overlapping Sets (Disjoint Sets)
Two sets are said to be non overlapping if there exists no common elements among
the two sets.
Eg. : Let A = { 1,2,3}
B = {4, 5, 6}