Given that A={x:x<5,x is a natural number} and B={x:−1<x<5,x is an integer}.
If x<5, where x is a natural number, then the possible values of x are 1,2 3 and 4.
⟹A={1,2,3,4}.
[0.5 Mark]
If −1<x<5, where x is an integer, then the possible values of x are 0, 1, 2, 3 and 4.
⟹B={0,1,2,3,4}.
[0.5 Mark]
Sets A and B have the elements 1, 2, 3 and 4 in common. Thus, A and B are not disjoint. They are overlapping sets.
[1 Mark]