## Finite and infinite set for ppt test

**Finite set: **

If a set is equivalent to the set (1,2,3………….n) for** some fixed natural** number **n** then the set is said to be finite set is** called finite set**. The number of different element mentioned or measuring posses in the finite set.

** Finite and infinite set ppt symbol is denoted by: n(S)**

**It depends upon the number, finite or infinite.**

If a set B has the element** {2,4,6,8}.** The set has four even number denoted by **symbolically n(B)= 4**

#### INFINITE SET:

If a set is equivalent to the set (1,2,3) for not** some fixed natural number** then the set is said to be infinite set is called infinite set.

Set of **natural number N**, **set of integer Z**,** set of whole number W** is an infinite set.

#### Finite and infinite set

(1) six examples of finite set:

**1. Let P = {5, 11, 17, 19, 23}**

Then, P is a finite set and n(P) = 5

**2. Let N = {natural numbers less than 24}**

Then, N is a finite set and n(N) = 23

**3. Let W = {whole numbers between 5 and 44}**

Then, R is a finite set and n(W) = 37

**4. Let S = {x : x ∈ Z and x² – 64 = 0}**

Then, S = {-8, 8} is a finite set and n(Z) = 2.

**5. The set of all persons in Pakistan is a finite set**.

6. The set of all students in peer gala school is a finite set.

#### (2) SIX Examples of infinite set:

1. The set of all points in a Cartesian plane is an infinite set.

2. The set of all points in a circle is an infinite set.

3. The set of all negative integers which is a multiple of 3 is an infinite set.

4. W = {0, 1, 2, 3,4,5,6,7,8,9 ………} i.e. set of all zero to undefined numbers is an infinite set.

5. N = {1, 2, 3,4,5,6,7,8 ……….} i.e. set of all one to undefined numbers is an infinite set.

6. Z = {………-5,-4, -2, -1, 0, 1, 2,3,4,5 ……….} i.e. set of all integers is an infinite set.

After finite and infinite set ppt example, the student will be able to pass the test.

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