Question

How do you write the set in roster form? In set builder notation? Suppose U = {–10, –6, –2, 0, 3, 5} is the universal set and T is the set {–10, –6, 0}. What is the complement of set T?

Answer 1

The complement of T is everything that is in U but not in T.

U and T as given are in roster form.

Answer 2

huh ??

Answer 3

I'm sorry, I don't know how to explain that any more clearly.

Answer 4

well okay !!!

Answer 5

well can you help me understand it ?

Answer 6

Only if you ask a more specific question than, "huh??"

What, in particular, do you still not understand?

Answer 7

okay so how would i solve this problem ?

Answer 8

Did you understand my explanation of what a 'complement' is?

Answer 9

that would be t right ?

Answer 10

T is a subset of U, i.e. T contains some but not all of the same elements as are in U.
The complement is whatever is missing from T to *complete* set U.

Answer 11

{–10, –6, 0) <-------- would that b it ?

Answer 12

That is set T. The complement of T is everything in set U that is not in set T.

Answer 13

so that would be incorrect >

Answer 14

If T={–10, –6, 0}, then {–10, –6, 0} is not also the complement of T.

Here's a simple example. Let's say the universal set only contains {1,2}, the complement of the subset, {1} is {2} because {1} ∩ {2} complete the universal set.

Making more sense now?

Answer 15

{–6, –2, 0, 3, 5} or {–2, 3, 5}