Question

A= { 1, 2 3 4......10} what type of set A is​

Answer 1

A = {1, 2, 3, 4, ..., 10} is a finite set.

Step-by-step explanation:

• Here, the given set is A = {1, 2, 3, 4, ..., 10}

• All the elements 1, 2, 3, 4, ..., 10 are Positive Integers or Natural Numbers.

• There are only ten elements in set A, that is, set A has finite number of elements.

• So, we can say that set A is finite.

Finite set:

If any set A contains finite number of elements, then the set A is called a finite set.

For example, A = {x : x is an integer and 3 < x < 5}

Then, A = {4} because 4 is the only integer that lies between 3 and 5.

There is only one element in set A and thus A is finte.

But, set B = {x : x is a real number and 3 < x < 4} is an infinite set because there are infinite number of real numbers between 3 and 4.