I'm currently working on this problem but I've been struggling on this for a while now. I'm very confused with some of the wording, and what exactly it's asking me for. I understand (c) but understanding (a) or (b) is throwing me in for a loop.
#Determining Outcomes for Unions, Intersections, etc - Need help
quartz peak
leaden domeBOT
graceful karma
Event A and event B are both sets of numbers
graceful karma
for question a?
quartz peak
yeah
graceful karma
yeah that's correct
quartz peak
and then for (b) am I correct in doing 1,3,5? Since it's telling me it is in events a or b?
near holly
Yes thats correct
quartz peak
I should note that it's the topic that im having trouble with not just the problem
near holly
For problems like thus
quartz peak
Okay nope it said I'm wrong lol
near holly
Did u type it in the way they asked
arctic kelp
1,3,4,5,6 because its also all numbers greater than 3
quartz peak
Ohh okay
quartz peak
they always praying for my downfall 
You're fine btw it's no biggie
Okay. Much better this time. I think what was getting me confused was which numbers to put in, sometimes it is just simple reading that screws me over
near holly
Yeah first step is to understand what numbers are in each set
quartz peak
So for this one right, I'm confused with a and b because it feels like i'm getting two of the same answers
I know my event X is: A,B,C,D cause they come before E. I know my event Y is: A,C,E,F because the letters selected is found in FACE.
arctic kelp
so X and Y means the set which containts elements which are found in BOTH X and Y
X or Y means the set which contains elements found in EITHER X or Y or both
quartz peak
So (a) would be {A,C} instead of what I have currently because they want what's found in BOTH X and Y
arctic kelp
Yea
quartz peak
And (b) would be {A,C,E,F} because they want the elements that's found in EITHER set
arctic kelp
ACEF is the set Y but you also want to include elements in X
basically you take all the elements from both sets and combine them
arctic kelp
Right
Also for the last one, the complement includes all the elements not in the set
to define the complement you need a universal set which all the other sets are contained in, in this case its the letters ABCDEFG
so all the letters that are in the universal set ABCDEFG but NOT in X are in the complement of X
quartz peak
So something that tends to get me is that anytime I'll do the (c) part (cause it's all the same across this specific topic) why do I still include the first letter? It's weird to say this.
So take (c) right? It's asking for the complement of X. I put F,G but it was wrong and the correct answer was EFG. Why does it want me to put EFG instead of just FG if it's just asking for the complement
arctic kelp
Because EFG are all the letters that are NOT in X
The complement of Y would be BDG because those letters are not in Y
quartz peak
Okay, I think I understand it a bit more now
arctic kelp
For 'and' and 'or' of two sets, you only refer to the sets themselves but the complement also refers to the universal set which is important to remember
so if instead of only the first seven letters, the universal set was the whole alphabet, the complement of X would be all the letters starting from E, but the set "X and Y" would be the same