Given U = (all letters of the alphabet) A = (b,c,d) and B = (c,e,f,g) List the elements of set?

A) AUB


B) AnB


c) A'nB'


d) A'UB'


e) AUB'


f) (AUB') nB


g) (AUB) n (AUB')


Please work out..

Given U = (all letters of the alphabet) A = (b,c,d) and B = (c,e,f,g) List the elements of set?
The U symbol denotes the union of two sets. Think of it like the word "or". The expression AUB denotes a set that contains all the letters that are in A, in B, or in both A and B.





The n symbol denotes the intersection of two sets. Think of it like the word "and". The expression AnB denotes a set that contains all the letters that are in A *and* in B. A letter will only appear in AnB if that letter is a member of set A and also a member of set B.





The ' symbol denotes the complement of a set. U (the set, not the symbol for union) is the set of all the letters of the alphabet and A is a subset of U because it only contains some letters. A' is the set that is complementary to A. A' contains all the letters found in U that are not already in A. Think of it this way: if you had set U and you took out the letters you needed to make set A, all the letters you had left would make up set A'.





This problem may be easier if you write out what is in sets A' and B'. When you have parentheses in a question, do the set calculation inside the parentheses first and then use that new set to do the calculations that are outside the parentheses. For example, in f), find AUB' first (the union of A and B') and then use that answer to do the nB calculation.

violet