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14. Make a Venn diagram to find, if possible, the number of elements in sets A, B, and Cusing the given information. If there is an inconsistency, state where it occurs.a) AnB = Ø, n(An C) = 1, n(Bn c) 11, n(C - A) = 18, n(A - C) = 9, n(U) = 28A

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I dont know where to start.

14. Make a Venn diagram to find, if possible, the number of elements in sets A, B, and C
using the given information. If there is an inconsistency, state where it occurs.
a) AnB = Ø, n(An C) = 1, n(Bn c) 11, n(C - A) = 18, n(A - C) = 9, n(U) = 28
A
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14. Make a Venn diagram to find, if possible, the number of elements in sets A, B, and C using the given information. If there is an inconsistency, state where it occurs. a) AnB = Ø, n(An C) = 1, n(Bn c) 11, n(C - A) = 18, n(A - C) = 9, n(U) = 28 A

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Step 1

The given information is 

AnB , n(AnC)=1,
n(Bnc)=11, n(C-A)-18
n(A-C)9, n(U)28
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AnB , n(AnC)=1, n(Bnc)=11, n(C-A)-18 n(A-C)9, n(U)28

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Step 2

With the given details, the Venn diagram is obtained as

n(C-A) 18 and n(4-C)=9
U:n(U) 28
72(BOC)
n(AnC C
B
11
A
=1
From the diagram, it is clearly seen if AnB =Ø, then the two sets must be shown
separately
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n(C-A) 18 and n(4-C)=9 U:n(U) 28 72(BOC) n(AnC C B 11 A =1 From the diagram, it is clearly seen if AnB =Ø, then the two sets must be shown separately

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Step 3

Here, we don’t ...

n(A) n(B), and nc)?
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n(A) n(B), and nc)?

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