SOLUTION: How do you write a set In a roster for and in set-builder notation

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Question 772822: How do you write a set In a roster for and in set-builder notation
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
The names of the formats are self explanatory - which is a common practice in math. Roster form is a listing of elements whereas set-builder notation is a way of describing what elements are in a set. If a set has elements that cannot be listed completely then set builder notation is a viable option.
Suppose E1 is the set of even numbers between 2 and 12 then either form will work:
E1={4,6,8,10}={n: 2|n and 2 < n < 12}
Now let E2 be the even number between 2 and 12,000,000,000. Roster form is really no longer practical - and this isn't even an infinite set. So we use builder notation.
E2={n: 2|n and 2 < n < 12*10^9}