Reply
Sun 16 Oct, 2016 04:08 am
Hi guys!
I'm not sure with some answers for the following 5 sets, it would be amazing if someone could help! I'm mainly getting confused with the bracketing.
So the Sets are:
S1= {{B}, B}
S2={{B}}
S3={B}
S4=B={e,f,g}
And the questions I have...
1. What is the cardinality of S1? I thought it would be 4, as the second B is equivalent to S4 which means it has 4 members. My friend however thinks its 2!
2. What is the Union of S1 and S2? I thought it might be S1US2= {{B}, B, {{B}}}.
3.What is the complemet of S1 in S2? S2\S1 = {{B}} or nothing?
4. What are the subsets of S1? Is it both {A} and A or only {A}? I think it is {A} because this only contains 1 member but I'm unsure!
5. Which are the subsets of S2? Do I write {{A}} or {A}? I know a set can be a subset of itself but do I leave the outer brackets or keep them on?
Thanks soo so much in advance! Really feel like I'm struggling a bit and we have a test tomorrow so any help is much appreciated!
@jessicalorynn,
jessicalorynn wrote:
1. What is the cardinality of S1? I thought it would be 4, as the second B is equivalent to S4 which means it has 4 members. My friend however thinks its 2!
There are 2 elements, {B} and B. The cardinality is 2.
Quote:
2. What is the Union of S1 and S2? I thought it might be S1US2= {{B}, B, {{B}}}.
No {{B}} is not an element of S2. It
is S2.
Quote:
3.What is the complemet of S1 in S2? S2\S1 = {{B}} or nothing?
Empty set. {}. This is a set with no elements -- cardinality zero.
Quote:
4. What are the subsets of S1? Is it both {A} and A or only {A}? I think it is {A} because this only contains 1 member but I'm unsure!
S1 has
2 elements, so it has 2^
2 = 4 subsets.
They are {}, {{B}}, {B}, {{B},B}.
Quote:
5. Which are the subsets of S2? Do I write {{A}} or {A}? I know a set can be a subset of itself but do I leave the outer brackets or keep them on?
S2 has
1 element. So it has 2^
1 = 2 subsets.
They are {} and {{B}}.
Stumble It!
Tweet This
Bookmark on Delicious
Share on Facebook
Share on MySpace