Question

11)State Which of the following sets are Finite, Infinite or Empty.
1.The Set of even numbers between 1 and 101. _
2. The set of even Numbers._
3.The Set of Natural Numbers._​

Answer 1

Answer:

1. finite

2. infinite

3. infinite

Answer 2

1. The set of even numbers between 1 and 101 is Finite.

2. The set of even numbers is Infinite.

3. The set of Natural numbers is infinite.

Given,

1. The Set of even numbers between 1 and 101.

2. The set of even Numbers.

3. The Set of Natural Numbers

To Find,

Which of the following sets are Finite, Infinite, or Empty?

Solution,

Before solving the question, let's understand the concept of finite and infinite or empty.

Finite Sets:

Sets with a finite number of members are called finite sets. Countable sets are also known as finite sets. When this set has a finite number of elements, the process will run out of elements to list.

Infinite Sets:

Sets that cannot be counted and cannot be represented in Roster form are called infinite sets because they cannot contain finite elements. Sets that cannot be counted are referred to as infinite sets.

Empty Sets:

It is also known as the void set or an empty set, as it does not contain any elements.

1. The Set of even numbers between 1 and 101.

⇒ These sets are finite because they are countable.

2. The set of even numbers.

⇒ They are infinite and uncountable.

3. The Set of Natural Numbers.

⇒ They are infinite and uncountable.

1. The set of even numbers between 1 and 101 is Finite.

2. The set of even numbers is Infinite.

3. The set of Natural numbers is infinite.

#SPJ2