CUET PG 2021 — Mathematics PYQ
CUET PG | Mathematics | 2021The set of positive integers is
Choose the correct answer:
- A.
infinite
(Correct Answer) - B.
finite
- C.
subset
- D.
empty
infinite
Explanation
Representation of the Infinite Set
We represent this infinity using ellipsis (the three dots …) to show that the pattern continues forever:
Z+={1,2,3,4,5,…}
Cardinality
In set theory, the "size" of an infinite set is called its cardinality. For the set of positive integers, the cardinality is denoted by the symbol aleph-null:
Cardinality(Z+)=ℵ0
This represents the smallest type of infinity, known as countable infinity.
Explanation
Representation of the Infinite Set
We represent this infinity using ellipsis (the three dots …) to show that the pattern continues forever:
Z+={1,2,3,4,5,…}
Cardinality
In set theory, the "size" of an infinite set is called its cardinality. For the set of positive integers, the cardinality is denoted by the symbol aleph-null:
Cardinality(Z+)=ℵ0
This represents the smallest type of infinity, known as countable infinity.