Question

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}

Answer 1

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

Answer 2

because its less ? @tkhunny

Answer 3

Because what is less than -5? -6 < -5 and -7 < -5 etc.

Okay, now tell me why the last one is NOT the answer.

Answer 4

because they're not all positive numbers ?

Answer 5

?? No, it includes -6, doesn't it? We already established that -6 < -5.

Okay, how about the number 9. Is 9 > -5?

Answer 6

yes

Answer 7

Does the third set contain 9?

Answer 8

yes ?..

Answer 9

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

Answer 10

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

Answer 11

We certainly ruled out the other three! Good work.

Answer 12

so it is {−5, −4, −3, …} !!!

Answer 13

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.

Answer 14

so what does that mean.... ?

Answer 15

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.

Answer 16

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