Question

A set of composite numbers less than 12 .express it in listing and set builder methods​

Answer 1

The composite numbers less than 12 are 4, 6, 8, 9, 10, and 11. They can be expressed in listing method as 4, 6, 8, 9, 10, 11 and in set builder method as x is an integer, 4 ≤ x ≤ 11, and x is composite

Step-by-step explanation:

The composite numbers less than 12 are 4, 6, 8, 9, 10, and 11.

In listing method:

1. 4
2. 6
3. 8
4. 9
5. 10
6. 11

In set builder method: x

Answer 2

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods​.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set =
`\x\\eq P,1<x<12\`

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and
`\x` respectively.