SOLVING VENN DIAGRAMS

1
SOLVINGVENN DIAGRAMS
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2
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
3
SOLVINGVENN DIAGRAMS
Method 1 Algebraic Approach
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4
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
5
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
6
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
7
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
8
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
9
The universal Set, U, and the sets A, B and
Contained within it are such that
Find
10
10 - x
a
b
11 - x
16 - x
c
11
a 10 (16 x) 25
? a x 1
x - 1
a
b
c
12
a 10 (16 x) 25
? a x 1
b 10 (11 x) 34
? b x 13
x 13
b
c
13
a 10 (16 x) 25
? a x 1
b 10 (11 x) 34
? b x 13
37 (x 1) (10 x) (x 13) 74 8
59 x 66
? x 7
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a 10 (16 x) 25
? a x 1
b 10 (11 x) 34
? b x 13
37 (x 1) (10 x) (x 13) 74 8
59 x 66
? x 7
15
SOLVINGVENN DIAGRAMS
Method 2 Trial and Adjustment Approach
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16
Here is the given information
Find
17
(No Transcript)
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Try x 4 ?
Needs to be 74
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Now Try x 7 ?
Bingo !!!
x 7
74 71 3 and4 3 7Is this a coincidence?
?
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SOLVINGVENN DIAGRAMS
Method 3 Reasoning Approach
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21
Here is the given information
Find
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25 34 37 96
A B C 66
96 66 30 Surplus
10 16 11 37
7
37 30 7 Surplus
Find
7
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(No Transcript)