If U = {integers} and subset M = {negative integers}, what is M'?
This is {}? Right?

Question

jim_thompson5910 · Answer

M' is the set of all things that are in set U but are NOT in set M

jamesj · Answer

If M' = {}, then M = U.  But that isn't true.

jim_thompson5910 · Answer

so start with the set of integers, and erase the set of negative integers, what do you get?

anonymous · Answer

Which would mean, M' is negative integers?

jim_thompson5910 · Answer

M = {negative numbers} 


so M' = {set of everything that is NOT negative but it is in U}

jim_thompson5910 · Answer

you can think of M' as the opposite (sorta...) of M

anonymous · Answer

So, then integers?

jim_thompson5910 · Answer

specifically what kind of integers?

anonymous · Answer

Positive ones, I believe so.

jim_thompson5910 · Answer

and?

anonymous · Answer

negatives?

jim_thompson5910 · Answer

well we're throwing those out

jim_thompson5910 · Answer

I'm thinking of 0

jim_thompson5910 · Answer

since 0 is neither positive nor negative

anonymous · Answer

So, then I was right all this time? It's > {} <

jim_thompson5910 · Answer

so M' = {positives and 0}


or M' = {nonnegative integers}

jim_thompson5910 · Answer

no the answer is not the empty set

anonymous · Answer

Possible, 0,1,2..?

jim_thompson5910 · Answer

yep those are the nonnegative integers

jim_thompson5910 · Answer

aka the natural numbers

jim_thompson5910 · Answer

or your book might call them the whole numbers

anonymous · Answer

I claim you to be my new teacher.

jim_thompson5910 · Answer

lol

anonymous · Answer

If T = {positive integers} and subset W = {5, 10, 15, 20, …}, what is W'?

This means, positive integers except those divisible by 5?

jim_thompson5910 · Answer

bingo, you got it

anonymous · Answer

which one is the domain, (x,y)? It's x, right?

jim_thompson5910 · Answer

the domain is the set of all allowable input


since x is usually associated with inputs, the domain is usually considered the set of possible x values


So yes, it's basically x (but be careful as there are pitfalls)

anonymous · Answer

then, this would mean that, -4,3,-2,3 are my domains?

jim_thompson5910 · Answer

not sure what the whole problem is, so I can't say

anonymous · Answer

The domain of the following relation: R: {(-4, 3), (3, 6), (-2, 1), (3, 6)} is

jim_thompson5910 · Answer

ah ok

jim_thompson5910 · Answer

yes, the domain is {-4, 3, -2, 3} but you remove that extra 3 to get {-4, 3, -2}

anonymous · Answer

Oh... I see! c: