Let U={1,2,3,4,5,6,7,8,9}, A={3,4,5,6,8}, B={2,4,7,8,9}, C={4,5,6,7,8} and find:
a. A∩B b. A∪C c. A' d. B'∩A' e. AU(B∩C) f.A∩(BUC) g. {(A∩B') U (A∩B)}' h. (A'UB'UC)'
if anyone can figure this out please helpp!!!!
Let U={1,2,3,4,5,6,7,8,9}, A={3,4,5,6,8}, B={2,4,7,8,9}, C={4,5,6,7,8} and find:
a. A∩B b. A∪C c. A' d. B'∩A' e. AU(B∩C) f.A∩(BUC) g. {(A∩B') U (A∩B)}' h. (A'UB'UC)'
if anyone can figure this out please helpp!!!!
Kuntah:
The ' denotes the complement of the set. Since U is given, but not explicitly stated in the questions I assumed that it was the complement with respect to U. e.g. in set difference notation A'=U\A= {1,2,7,9} Can you do the rest now?
also f.) $\displaystyle A\cap(B\cup C) = \{3,4,5,6,8\}\cap\{2,4,5,6,7,8,9\}=\{4,5,6,8\}$
I think you will find these questions amazingly simple, if you read what the symbols mean.
intersection: the set containing elements common to both sets
union: the set of elements contained by both sets (counting similar elements only once)
Complement: The elements belonging to U that do not belong to A written U\A or just A' if there is no ambiguity.
It's so easy try it