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SET - THEORY
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Introduction
- Set : A well defined collection of objects is called a set.The objects in a set are called its elements or members.
- If A is a set and x is an element of A, we write, x A. If x is not an element of A, we write, x A.
- How to describe or specify a set ?
- I. Roster Method ( Listing Method ) : Under this method, we just make a list of the objects of the set and put them within braces { }.
- e.g. (i) If A is set of first five prime numbers, then A = { 2, 3, 5, 7, 11, }
- (ii) If B is the set of all counting numbers between 100 and 400, then
B = { 100, 101, 102, 103, . . . , 399, 400 }.
- Set Builder Form ( Property Method ) : This method consists in listing the properties common to all the elements of the set.
- I. Roster Method ( Listing Method ) : Under this method, we just make a list of the objects of the set and put them within braces { }.
