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Now you know how to write a set but can you write the set in only one way no there are three ways to represent a set the roaster or tabular set builder for more description set and a Venn diagram now let us set a denoted the colors of the rainbow what are the colors of the rainbow violet indigo blue-green yellow orange and red now in roaster or tabular set we will make a list of the elements of the set and put it within curly brackets let's take the set C the set C of colors of rainbow what were the colors of the rainbow we will make the list of those and write it within the set C is equal to open curly brackets write the elements of this set violet indigo blue Green yellow orange all right red see I have separated the elements with the commas it will look something like this, so this is called roaster form now let's try writing roster for the set V of for Bills of English alphabet how will we write it take the capital letter V is equal to a comma I comma Au comma U, and we close the bracket, so this is our answer to set an of natural numbers less than four which are the natural numbers less than four one two and three so let's write it, so an is equal to one two three, and we close the bracket, so this is our answer the set of natural numbers less than 100, so we will write the natural numbers less than a hundred it will be so tedious still let's try writing, so an is equal to one two three four five it will look something like this but can you waste so much of time writing these numbers what if it would be set of natural numbers less than 1000 would you write the numbers from 1 to 999 now what is the shortcut we can use here we can write it as an is equal to 1 2 3 4 5 you don't have to write all the numbers till 99 what you can do is used 3 dots put a comma and right 99 this will complete your answer but how what are these dots are called ellipsis means continue on or so on by using these three dots you can say in your answer that the numbers start from 1 2 3 4 5 and move on or so on till 99 so in roster form you can write this set in this short form where a will be one two three and so on till 99 if the sets are large you can use this ellipsis these three dots are called ellipsis let's take the set C of even numbers greater than one so what are the even numbers greater than one two four six eight and many more let's write C is equal to open curly brackets two four six eight you know that we can continue writing it will not stop, so we will use ellipsis that means so on and close the bracket this will complete our answer let's take the set of all natural numbers it is denoted by the capital letter n is equal to what are the natural numbers one two three four and so on it will never end, so you can use ellipsis similarly the set of all whole numbers it is denoted by a capital letter W what are the whole numbers 0 1 2 3 and so on we will write it 0 1 2 3, and we know that it will not end, so we will use ellipsis and complete our answer now what...