We use to denote the



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  1. Topic-1. Sets and sets notation

In this section we look at some mathematical notation for the ideas we learnt about sets in the last section.

      

We use   to denote the universal set, which is all of the items which can appear in any set.
This is usually represented by the outside rectangle on the venn diagram.



A   B represents the intersection of sets A and B.
This is all the items which appear in set A and in set B.



A   B represents the union of sets A and B.
This is all the items which appear in set A or in set B or in both sets.

'

We use ' (the apostrophe) to denote the complement of a set.
A' is all the items which are not in set A.



 B means that set A is a subset of set B.
This means that every member of set A also appears in set B.



 is the empty set - a set with no items in it.
For example, if A is the set of numbers which are both odd and even then A =  .

Practice Questions
Work out the answer to each of these questions then click on the button marked   to see whether you are correct.



Look at the venn diagram on the left.
List the items which are in the set:

(a) A   B


(b) A'   B







Look at the venn diagram on the left.
List the items which are in the set:

(a) B'

(b) (A   B)   C'



  

Look at the venn diagrams on the left.
Use set notation to describe:

(a) the area shaded in green


(b) the area shaded in red





  

Look at the venn diagrams on the left.
Use set notation to describe:

(a) the area shaded in blue


(b) the area shaded in purple







Look at the venn diagram on the left.
State whether each of the following statements are TRUE or FALSE:

(a) R = { f , i , h }


(b) P   Q


(c) P   Q = P


(d) P   R = 


(e) (Q   R)' = { k , m }






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