Use complete sentences to describe why set A = { x | x is an even whole number between 0 and 2} = Ø

In simple words, a set is a collection of distinct numbers, where the set itself is also considered a number.

Answer: There is no even whole number between 0 and 2.

A null set is a set that does not have any element or number in it. A null set is also known as an empty set. It is represented by the symbol 'Ø'.

Explanation:

Set A = { x | x is an even whole number between 0 and 2} = Ø

Here, Ø represents that the set is an empty set. Now we will find why this set is a null set.

Whole numbers are all the positive integers including 0, and even numbers are the integers that are divisible by 2.

{ x | x is an even whole number between 0 and 2} describes the numbers between 0 and 2 that are even as well as whole numbers.

As there is only one whole number between 0 and 2 that is 1. But the number 1 is not divisible by 2.

Hence Set A = { x | x is an even whole number between 0 and 2} is an empty set or a null set.

Therefore, there is no even whole number between 0 and 2.