Alterna · учебный материал

Polygon examination

Final verification of the charts of Euler and algebra logic: Quest 800 XP, test 10 min, interactive EEG No. 6.

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Alterna chapter 29 page 29.5
Polygon examination
Quest 800 XP Test 10 min Interactive EEG Assistant No. 6
3 modes:
Quest
800 XP,
10 min test
,
EGE Assistant No. 6
.
GEF
OGE No. 6
EEG No. 6
He's got a little bit of depth.
01
Quest
0 / 800 XP
0/8
02
Test
⏱
Test: 10 questions 10 minutes
10:00
0/10
03
EEG Assistant No. 6
How to work with EGE Task No. 6 (Eiler-Venne figures):
Mark three sets: A, B, C (on the subject of the request)
Enter in the table known values from the condition
Press "Check" – the system will find unknown areas
Read the answer from the right area of the diagram.
🎲
EEG No. 6 training task
🔧
Venna diagram calculator (3 laps)
Enter the known values from the task. Leave the unknowns empty. Press "Check."
A
B
C
a
b
c
ab
ac
bc
abc
Parameter
Symbol
Meaning
Only A
a
Only B
b
Only C
c
(without C)
ab
A ± C (without B)
ac
BøC (without A)
bc
A∩B∩C
abc
|A| = a+ab+ac+abc
|A|
|B| = b+ab+bc+abc
|B|
|C| = c+ac+bc+abc
|C|
|A∩B| = ab+abc
|A∩B|
|A∩C| = ac+abc
|A∩C|
|B∩C| = bc+abc
|B∩C|
|A∪B∪C|
|A∪B∪C|
Key EGE No. 6 formulas:
Inclusion formula (2 multiples):
|A∪B| = |A| + |B| − |A∩B|
Inclusion formula (3 sets):
|A∪B∪C| = |A|+|B|+|C| − |A∩B| − |A∩C| − |B∩C| + |A∩B∩C|
Only A (without B and C):
a = |A| − |A∩B| − |A∩C| + |A∩B∩C|
A ± B without C:
ab = |A∩B| − |A∩B∩C|

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