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Mathematics 16 Online
OpenStudy (anonymous):

Which of the following does not represent the set of integers from 1 to 12 a.{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} b. {1, 2, 3, …, 10, 11, 12} c. {1, 2, 3, 4, …} d.{integers from 1 to 12}

OpenStudy (anonymous):

@zepdrix i dont understand intergers AT ALLL!!! :0

zepdrix (zepdrix):

Integers are whole numbers c: Soooooo Let's look at each one individually. a. lists all whole numbers from 1 to 12. Does that represent the integers from 1 to 12?

OpenStudy (anonymous):

yes

zepdrix (zepdrix):

Ok good. For b. They started listing numbers, then they got lazy and put "...", which means "Oh yah, and all those numbers in between also." So b represents the integers from 1 to 12 also! :D

zepdrix (zepdrix):

d. they are very explicit, {the integers from 1 to 12} Does that qualify as the set of integers from 1 to 12? Hmmm why yes it does. Let's look at what makes c. a bad boy :O

OpenStudy (anonymous):

c does not represent the set of integers from 1 to 12

zepdrix (zepdrix):

{1, 2, 3, 4, …} See how there is no number on the RIGHT of the "..."? The dots pretty much mean, "keep counting until I say stop." In b. {1, 2, 3, 4, …10,11,12} The dots let us know to just keep on counting until we got to 10. then it listed 11 and 12 after that. In c. {1, 2, 3, 4, …} The dots let us know to keep counting until we reach the number, Uh oh! they didn't list a number after the dots! So we just keep on counting. c. represents ALL INTEGERS (above 0). Not just the ones from 1 to 12. So he's bad :O tsk tsk

OpenStudy (anonymous):

so is it b ? ....

zepdrix (zepdrix):

b and c are the only ones we need to worry about. they both have the dots, which tells us to count up from where we left off, to wherever it ends at. so b ends at 12. c never ends. so what is your answer?

OpenStudy (anonymous):

c!

zepdrix (zepdrix):

mhm -_-

OpenStudy (anonymous):

no ?.... :x

zepdrix (zepdrix):

yes its c :3 ...

OpenStudy (anonymous):

ohh, lol you made that face so i didn't know... lmao

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