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| Name | Sets Class 9 Maths 1 Chapter 1 Sets Practice Set 1.1 Methods of writing sets @Pramod Chinchole |
| Video Uploader | Video From Pramod Chinchole |
| Upload Date | This Video Uploaded At 03-10-2020 22:04:48 |
| Video Discription | Examples of Methods of writing sets. Practice Set 1.1 Methods of writing sets: (1) Listing or Roster method (2) Rule or Set Builder method Sets If we can definitely and clearly decide the objects of a given collection then that the collection is called a set. Generally, the name of the set is given using capital letters A, B, C,.....,Z The members or elements of the set are shown by using small letters a, b, c, ... If a is an element of set A, then we write it as ‘a Î A’, and if a is not an element of set A then we write ‘a Ï A’ . Now let us observe the set of numbers. N = { 1, 2, 3, . . .} is a set of natural numbers. W = {0, 1, 2, 3, . . .} is a set of whole numbers. I = {..., -3, -2, -1, 0, 1, 2, ...} is a set of integers. Q is a set of rational numbers. R is a set of real numbers. Methods of writing sets There are two methods of writing set. (1) Listing method or roster method In this method, we write all the elements of a set in a curly bracket. Each of the elements is written only once and separated by commas. The order of an element is not important but it is necessary to write all the elements of the set. e.g. the set of odd numbers between 1 and 10, can be written as as, A = {3, 5, 7, 9} or A = {7, 3, 5, 9} If an element comes more than once then it is customary to write that element only once. e.g. in the word ‘remember’ the letters ‘r, m, e’ are repeated more than once. So the set of letters of this word is written as A = {r, e, m, b} (2) Rule method or set builder form In this method, we do not write the list of elements but write the general element using variable followed by a vertical line or colon and write the property of the variable. e.g. B = { x | x is a prime number between 1 and 10} set B contains all the prime numbers between 1 and 10. So by using the listing method set B can be written as B = {2, 3, 5, 7}. Q is the set of rational numbers which can be written in set builder form as Q ={ p/q | p, q Î I, q ¹ 0} and read as ‘Q’ is set of all numbers in the form p/q such that p and q are integers where q is a non-zero number.’ Illustrations : In the following examples each set is written in both methods. Rule method or Set builder form Listing method or Roster method A = { x | x is a letter of the word ‘DIVISION’.} A = {D, I, V, S, O, N} B = { y | y is a number such that y2= 9} B = { -3, 3} C = {z | z is a multiple of 5 and is less than 30} C = { 5, 10, 15, 20, 25} #setbuildermethod #rostermethod #methodsofwritingsets [TGKsFcMjTUU] |
| Category | Education |
| Tags | Examples on Methods of writting sets. | Practice Set 1.1 | Class 9 Maths Part 1 | Pramod Chinchole | Sets | संच | सराव संच 1.1 | प्रमोद चिंचोले | गणित भाग 1 | Listing or Roster method | Rule or Set Builder method | Sets Class 9 Maths | standard 9 sets | std 9 sets |
