Question

Which is infinite set? Explain Why?

A.) The set of whole numbers<10

B.)The set of prime number<10

C.)The set of integers<10

D.) The set of factors of 10​

Answer 1

Step-by-step explanation:

What is Infinite set?

If a set is not finite, it is called an infinite set because the number of elements in that set is not countable and also we cannot represent it in Roster form. Thus, infinite sets are also known as uncountable sets.

So, the elements of an Infinite set are represented by 3 dots (ellipse) thus, it represents the infinity of that set.

Examples of Infinite Sets

A set of all whole numbers, W= {0, 1, 2, 3, 4,…}

A set of all points on a line

The set of all integers

Cardinality of Infinite Sets

The cardinality of a set is n (A) = x, where x is the number of elements of a set A. The cardinality of an infinite set is n (A) = ∞ as the number of elements is unlimited in it.

Properties of Infinite Sets

The union of two infinite sets is infinite

The power set of an infinite set is infinite

The superset of an infinite set is also infinite.

hope it helped!!!