Question 203178: Given:
A= {1,3, 5, 7}
B= {c, d}
S= {x e I 0 < x <10 } u {x x is a letter of the word dice}
Find each of the following stes.
a) A'
b) B'
c) A u B'
d) (A u B)
I am sorry I don't have all the write keys for the union and the funky looking E/ = and I don't know the correct term for it either.
All I really need to know is what A' means.
Thank you!
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
You didn't specify, but I suspect that  is your universe set. It has to be, otherwise expressions like  don't make any sense. Given that S is the Universe set, , read 'the complement of A', means "everything that is in S that is NOT in A". The union of two sets is everything that is in one set and everything in the other set as well.
It will be helpful to first enumerate . First we have a set of integers, larger than zero but less than ten, so:
and then we have the letters of the word 'dice':
Put them all together:
From that set, cross out each element of  and you are left with the complement of , or
You should be able to figure out the rest.
Notation:  means "such that",  means "is an element of",  is the set of integers.
John
|
|
|
