Question

C={6,12,18,24,30,36} write in set builder form ​

Answer 1

Answer:

C = { x | x is a multiple of 6, x ≤ 6, 36 > x }

Step-by-step-explanation:

To write, the given set in set builder form, we have to identify the similarity in the elements of the set.

Here, all elements are multiple of 6.

It can be denoted by using any variable

( x, y, z, a, b, c, ) and fulfilling the condition as per the given set.

Additional Information:

1. Set :

The group of well defined objects is known as 'set'.

Ex. : A set of days in a week.

2. Types of set:

There are total four types of sets.

A. Singleton set.

B. Empty set or Null set.

C. Finite set.

D. Infinite set.

3. Methods of writing a set:

A. Listing method or Roster form

X = { 1, 3, 5, 7, 9 }

B. Set builder form or Rule method:

X = { x | x is an odd number, x ∈ N, x ≤ 1 }

4. Union of two sets:

The set formed by the union of all elements in two sets, is called Union of two sets.

5. Intersection of two sets:

The set formed by only common elements in two sets, is called Intersection of two sets.

6. Addition of two sets:

The union of all elements in two sets is called the addition of two sets. It is same as the Union of two sets.

7. Subtraction of two sets:

The set formed by removing common elements from one of the two sets, is called Subtraction of two sets.