SOLUTION: I'm not sure where to start on this whole set and subset topic. represent the following set using set-builder notation: {0,2,4,...,12} My teacher told me that three dots ...

I'm not sure where to start on this whole set and subset topic. 

represent the following set using set-builder notation:

{0,2,4,...,12} 

My teacher told me that three dots ... meant an infinate set, but looking at

the problem more i would think the answer would be {0,2,4,6,8,10,12} 



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No, three dots (called an "ellipsis") only indicates an infinite set if it

doesn't have a stopping number after it.



The set {0,2,4,...} is an infinite set because there is no stopping number

written after the three dots, so it goes on and on forever.



However, your set {0,2,4,...,12} does have a stopping number, namely 12, 

so you are right that it means the same thing as {0,2,4,6,8,10,12}. 



What you are supposed to do is write it as:



"the set of all numbers representable by the variable x such that

x is greater than -1 and less than 13 and x is an even integer"



only abbreviated this way:



{x | -1 < x < 13, x an even integer}



That's what is meant by "set-builder" notation. 



Edwin