Question

Let $A$ be the set of all even whole numbers less than $10.$ Write $A$ in roster form.

Answer 1

Whole numbers can be defined as the numbers which begin with the number zero. Whole numbers are $0,1,2,3,....$ Set is defined as the collection of the distinct objects or the elements which have common property. Here we will convert the given set in the roster form where the elements of a set are listed and separated by commas.

Complete step by step solution:
Given that: Let A be the set of all even whole numbers less than $10.$
To write a set in roster form, all you have to do is list each element of the set, separated by commas, within a pair of curly braces.
Even Whole numbers less than $10 = 0,2,4,6,8$
Set A in the roster form is expressed as –
$A = \\{ 0,2,4,6,8\\}$

Additional information:
Set builder notation is used to describe a set by enumerating the elements or stating the properties to satisfy its members. Even number can be defined as the number which is divisible by the number two $(2)$ and which gives the remainder of zero $(0).$ A number which is not divisible by two is identified as the odd number.

Note:

Know the concepts very clearly for the whole numbers, integers, natural numbers, prime numbers, the composite numbers, Rational and irrational numbers. Also, know the difference and co-relation between them. Follow the given conditions properly while converting the set-builder to roster form and check it twice.