Set Notation And Language
A 1 2 3 integers greater than 0 and less than 4 x.
Set notation and language. You will get the following files. A set is a collection of objects things or symbols which are clearly identified. 1 04 worked example set a contains the even numbers from 1 to 10 inclusive. Natural numbers integers prime numbers common factors and multiples rational and irrational numbers real numbers and reciprocals set notation such as n a venn diagrams and appropriate shading of well de ned regions.
Sets are named using capital letters with some sets having a. Set language and notation. And if something is not in a set use. The individual objects in a set are called the members or elements of the set.
A set is a well defined collection of distinct objects. Set notation objects placed within the brackets are called the elements of a set and do not have to be in any specific order. Common symbols used in set theory. Usually you ll see it when you learn about solving inequalities because for some reason saying x 3 isn t good enough so instead they ll want you to phrase the answer as the solution set is x x is a real number and x 3 how this adds anything to the student s understanding i don t know.
In this notation the vertical bar means such that and the description can be interpreted as f is the set of all numbers n such that n is an integer in the range from 0 to 19 inclusive. Admin igcse mathematics revision notes o level mathematics revision notes 2 comments 10 428 views. The different objects numbers ideas and so on in the set are called the elements or members of the set. Number set notation and language unit 1 learning outcomes by the end of this unit you should be able to understand and use.
The individual objects in the set are called the elements or members of the set. Also when we say an element a is in a set a we use the symbol to show it. Unit 1 number set notation and language core extended curriculum 1 06 sets definition of a set a set is a collection of objects numbers ideas etc. X is an integer and 0 x 4 we also have the empty set denoted by or ø.
In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. Higher tier including all the answers to help students to revise focused on one topic. . You never know when set notation is going to pop up.
For example a set f can be specified as follows. Now you don t have to listen to the standard you can use something like m to represent a set without breaking any mathematical laws watch out you can get π years in math jail for dividing by 0 but this notation is pretty nice and easy to follow so why not. Pdf 602kb pdf files be sure that you have an application to open this file type before. Symbols save time and space when writing.
Some notations for sets are.