- #1
Supierreious
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Question 2:
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Consider the following sets, where U represents a universal set :
U = {1, 2, 3, 4, ∅, {1}}
A = {1, 3}
B = {{1}, 1}
C = {2 , 4}
D = { ∅ , 1, 2 }
A+D is the set : (Choose only one )
1. {1, 3}
2. {1, 2, 3}
3. {∅, 2, 3}
4. {2, 3}
This is quite an easy one, however i am a bit confused - will explain now.
The answer , to my knowledge, is number 3.
If the 2 sets are combined with '+', the sets are added together, however all duplicates are removed. when all duplicates are removed , we are left with the following :
A + D = { ∅, 2, 3}
Please confirm if the above is correct.
However, the question I have :
If ∅ is included in every set, then why do we have to include it in this set, and additionally, if it is in every set, will it not be that it must be removed from A + D, so that we end with the set A+ D = { 2, 3 }
I am a bit confused with ∅ being included in every set.
Please be so kind as to help me with this one and advise where I am making an obvious error.
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Homework Statement
Consider the following sets, where U represents a universal set :
U = {1, 2, 3, 4, ∅, {1}}
A = {1, 3}
B = {{1}, 1}
C = {2 , 4}
D = { ∅ , 1, 2 }
Homework Equations
A+D is the set : (Choose only one )
1. {1, 3}
2. {1, 2, 3}
3. {∅, 2, 3}
4. {2, 3}
The Attempt at a Solution
This is quite an easy one, however i am a bit confused - will explain now.
The answer , to my knowledge, is number 3.
If the 2 sets are combined with '+', the sets are added together, however all duplicates are removed. when all duplicates are removed , we are left with the following :
A + D = { ∅, 2, 3}
Please confirm if the above is correct.
However, the question I have :
If ∅ is included in every set, then why do we have to include it in this set, and additionally, if it is in every set, will it not be that it must be removed from A + D, so that we end with the set A+ D = { 2, 3 }
I am a bit confused with ∅ being included in every set.
Please be so kind as to help me with this one and advise where I am making an obvious error.