Which of the following sets is an infinite set?

a.){1, 2, 3 . . 100}
b.)empty set
c.)the set of whole numbers less than one billion
d.)the set of natural numbers
e.)none of the above

Answer;

D.)the set of natural numbers

Explanation;

-A set is said to be an infinite set whose elements cannot be listed if it has an unlimited (i.e. uncountable) by the natural number 1, 2, 3, 4, ………… n, for any natural number n is called a infinite set. A set which is not finite is called an infinite set.

-Set A cannot be infinite because it only goes to 100 and Set B is empty so that also has nothing infinite. However set of Natural numbers as they continue number by number getting in to an bigger number is infinite.

-On the other hand; A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

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