broweyebrit 2 years ago 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}

1. tkhunny

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

2. broweyebrit

because its less ? @tkhunny

3. 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.

4. broweyebrit

because they're not all positive numbers ?

5. tkhunny

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

6. broweyebrit

yes

7. tkhunny

Does the third set contain 9?

8. broweyebrit

yes ?..

9. tkhunny

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

10. broweyebrit

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

11. tkhunny

We certainly ruled out the other three! Good work.

12. broweyebrit

so it is {−5, −4, −3, …} !!!

13. 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.

14. broweyebrit

so what does that mean.... ?

15. 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.

16. broweyebrit

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