Use the given notation. You have to determine:
and you know
so you have to determine:
Can you complete?
Hi,
I am trying to understand this set related question:
===========================
Given the following sets:
V = { n ∈ ℤ|0 ≤ n ≤ 15}
l = {3, 4, 5, 6, 7}
and a list of 5 sets:
Ai = { n ∈V|n is a multiple of i}, where all i ∈ l
(Notation: ∪ i∈ {1,2,3} Ai = A1 ∪ A2 ∪ A3 )
∩ i∈lAi = ?
∪ i∈lAi = ?
Answers:
a. {11,13}
b. {3,4,5,6,7,8,9,10,12,14,15}
c. {0}
d. {1,2}
e. {0,3,4,5,6,7,8,9,10,12,14,15}
f. {0,1,11,13}
===========================
We need to determine what the answer is for:
∩ i∈lAi = ?
∪ i∈lAi = ?
Frankly, I do not know.
Do we consider 0 a multiple of 3? If so, then it should be there.
It appears as if we should include it.
The Union = ∪Now what is the union?
∪ means that the set of those elements which are either in A1 or in A2 or in A3 or in A4 or in A5 or in A6 or in A7 , or in all of them.
So the Union is e. {0,3,4,5,6,7,8,9,10,12,14,15}
right? :-)