Question 647896: We use the word "and" the symbol ∩ ("cap") to get only those elements that are in one set and are in the other set.
For the following combination of sets, perform the indicated operations: { 1, 3, 5, 7 } ∩ { 2, 4, 6, 8 }
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! { 1, 3, 5, 7 } ∩ { 2, 4, 6, 8 } ={} (empty set, its size or cardinality (count of elements in a set) is zero)
explanation:
The intersection is  the  elements.
To find the intersection of these two sets, we need to find out what elements they have in common.
The numbers { 1, 3, 5, 7 } are elements of one set, and { 2, 4, 6, 8 } are elements of other set. As you can see, there is no elements except empty set , therefore the intersections of these two sets is {}.(empty set)
Recall, the empty set   in  set, it is also included in these sets although you don't see it.
Therefore, the empty set is the only thing set { 1, 3, 5, 7 } and set { 2, 4, 6, 8 } have in common.
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