Question

write an example of finite set and infinite set in set builder form​

Answer 1

Answer:

Examples of finite set:

1. Let P = {5, 10, 15, 20, 25, 30}

Then, P is a finite set and n(P) = 6.

2. Let Q = {natural numbers less than 25}

Then, Q is a finite set and n(P) = 24.

3. Let R = {whole numbers between 5 and 45}

Then, R is a finite set and n(R) = 38.

4. Let S = {x : x ∈ Z and x^2 – 81 = 0}

Then, S = {-9, 9} is a finite set and n(S) = 2.

5. The set of all persons in America is a finite set.

6. The set of all birds in California is a finite set.

Examples of infinite set:

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

2. Set of all points in a line segment is an infinite set.

3. Set of all positive integers which is multiple of 3 is an infinite set.

4. W = {0, 1, 2, 3, ……..} i.e. set of all whole numbers is an infinite set.

5. N = {1, 2, 3, ……….} i.e. set of all natural numbers is an infinite set.

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

Thus, from the above discussions we know how to distinguish between the finite sets and infinite sets with examples.