SOLUTION: Is A=(a,b,c,d) and B=(a,c), find a set C such that A intersection C = B. Is C unique? :)

Algebra ->  sets and operations -> SOLUTION: Is A=(a,b,c,d) and B=(a,c), find a set C such that A intersection C = B. Is C unique? :)       Log On


   



Question 391742: Is A=(a,b,c,d) and B=(a,c), find a set C such that A intersection C = B. Is C unique?
:)

Found 2 solutions by jim_thompson5910, richard1234:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The only requirements of set C to make is that set C must have the elements 'a' and 'c' (since set A has these two elements as well). Other than that, set C can have ANYTHING else.

So for instance, one such set could be

C = {a,b,c,e}

or it could be

C = {a,c,r,q}

or it could be

C = {a,b,c,w,x,y,z}


And it goes on. It doesn't matter as long as 'a' and 'c' are in there. So this means that C is NOT unique.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
C can be any set that contains a and c, but not b or d. Therefore C is not uniquely determined.