Which of the following represents the set of integers greater than or equal to −5?
{−5, −6, −7, …}
{−5, −4, −3, …}
{−5, −4, −3, …, 3, 4, 5}
{all positive numbers}

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- anonymous

- chestercat

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- tkhunny

You tell me why the first one is NOT the answer.

- anonymous

because its less ? @tkhunny

- tkhunny

Because what is less than -5? -6 < -5 and -7 < -5 etc.
Okay, now tell me why the last one is NOT the answer.

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## More answers

- anonymous

because they're not all positive numbers ?

- tkhunny

?? No, it includes -6, doesn't it? We already established that -6 < -5.
Okay, how about the number 9. Is 9 > -5?

- anonymous

yes

- tkhunny

Does the third set contain 9?

- anonymous

yes ?..

- tkhunny

Try again. The third set is finite and contains no integer greater than 5.

- anonymous

i think the answer is {−5, −4, −3, …} or the last one...

- tkhunny

We certainly ruled out the other three! Good work.

- anonymous

so it is {−5, −4, −3, …} !!!

- tkhunny

Hold on. I didn't see the fourth one correctly. It does NOT contain -6. It is only POSITIVE numbers. It's problem is two-fold.
1) It contains non-integers, like 3/2 and \(\sqrt{2}\)
2) It fails to contains -3, whcih clearly is greater than -5.

- anonymous

so what does that mean.... ?

- tkhunny

Nothing new. We ruled it out incorretly, before, but we just ruled it out correctly, so it's still gone and #2 is still the right one.
Sorry for confusion.

- anonymous

okay!! thank you so much for your time and help! really means alot!!!! @tkhunny

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