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  2.  
  3. PEARSON (PEARSON)
  4.  
  5. Mathematics 2008
  6.  
  7. Unit FP1 - Further Pure Mathematics 1

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Summary Notes - Mathematical Proofs, Definitions & more
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These comprehensive handwritten notes on mathematical proofs cover key concepts such as sets, Venn diagrams, types of numbers, and various proof techniques. Perfect for UK Edexcel AS and A-Level Math students, they provide clear explanations and examples to enhance your understanding of mathematica...

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  • June 2, 2024
  • July 31, 2024
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Notes
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


·


Proper subsets do not contain all sets


-




If A is a subset of B , We write : * CB
-



If A is a proper subset of B, We Write : * CB

-



If A is not a subset of C . We write : A CC

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