Question

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

Answer 1

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 = $\{x|x\neq P,1$

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and $\{x|x\neq P,1$ respectively.