On
Mathematical
Proofs
, ·
lotes on Math Proofs , Notations, Sets and more
·
Based on the UK Edexcel As and A-Level Math course
Notations
·
Sets are collections elements
of
↳ shown
using Curly brackets eg
:
[2 ,
3 , 4
·
The Symbol is the universal Set : the set that contains all other sets
·
The Symbol is used to the set /contains elements
empty no
If an element a is in set A If element s wasn't in set A
we would write :
we would write :
↳ xEA ↳ x(H
The number is written
n(A)
of elements A
·
in a Set as
↳ eg n((2
,
3 ,
43)
Using Rules : To define a set
using rules ,
We can use the following
notation :
·
A =
Ex : SC" = 43 where Ex : ...
3 means all values of e such that. "
Subsets : are jets which are contained within other sets
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Proper subsets do not contain all sets
-
If A is a subset of B , We write : * CB
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If A is a proper subset of B, We Write : * CB
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If A is not a subset of C . We write : A CC