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}

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}

across · Answer

What do you think is the answer, and why?

anonymous · Answer

I have no idea.

across · Answer

Let us start by asking you: Do you know what an integer is?

anonymous · Answer

Wait second one?

across · Answer

Why do you say it is the second one? :)

anonymous · Answer

Because -5 is same as -5 and -3 -4 are bigger then -5

across · Answer

But the third one also meets your criteria. You are right, but what is wrong with the rest?

anonymous · Answer

What do you mean?

anonymous · Answer

How about this. We're looking for sets of integers greater than or equal to $-5$, and we can say that these aforementioned sets must be subsets of the set of all integers greater than or equal to $-5$, or:$$\{-5,-4,-3,-2,-1,0,1,2,3,4,5,\ldots,n\}\mid n\in\mathbb{Z},n\geq-5$$

Which sets share elements with this set?

anonymous · Answer

>.< I'm clueless.

anonymous · Answer

Here's an abstract but simple related example. Imagine, if you will, the set of all lowercase letters in the English alphabet $\{a,b,c,\ldots,x,y,z\}$ and the set of all uppercase letters in the english alphabet $\{A,B,C,\ldots,X,Y,Z\}$. Which of the two sets, if any, do the following belong to?$$\{o,m,g,b,r,b\}$$$$\{W,H,A,T,I,S,T,H,I,S,L,O,L\}$$$$\{i,C,a,N,t,Y,p,E,i,N,c,A,p,S\}$$$$\{a,b,\ldots,j,k\}$$$$\{4,a,7\}$$

anonymous · Answer

2nd one

anonymous · Answer

No third one.

anonymous · Answer

? This isn't pick and choose, those are each questions.

anonymous · Answer

rainbow inbox me ok