Answer:
C. Cardinality of set E is equal to that of O
Step-by-step explanation:
We are given that two sets
a set E of non negative even numbers
E={0,2,4,....}
A set O of non negative odd numbers
O={1,3,5,.....}
We have to choose correct option in given options
We know that
Set of non negative even numbers is countably infinite and set of non negative odd numbers is also countably infinite.
Cardinality of countably infinite set=Aleph naught=
Therefore, cardinality of E=
Cardinality of O=
Therefore, the cardinality of set E is equal to cardinality of set O.
Hence, option C is true.