Question

Let U={q,r,s,t,u,v,w,x,y,z}, A={q,s,u,w,y}, and B={q,s,y,z}. List the elements in the set (A∪B)′.

Answer 1

To clarify the notation, when you say \((A\cup B)'\) do you mean the complement of A union B? With U as the universe? If so, take the union first (every element that is in A or B), then take the complement, which is every element in the universe that is not in A union B.

Answer 2

A
{r, t, v, x}

B
{t, v, x}

C
{s, u, w}

D
{r, s, t, u, v, w, x, z}

I got A, is this correct?

Answer 3

That is correct, again assuming that you mean complement by that notation (That notation is used, but \(A^\mathsf c\) is more common).

Answer 4

I've never even heard of that notation... My professor doesn't use that... odd haha

Answer 5

For some reason set complement is one of those things that does not have a very good fixed notation, you'll see a lot of different things used. I've seen \(A'\) or \(\bar A\), as well as many others. Those symbols do not make sense to me to use, because they are also used to mean other things, so it is vague. \(A^\mathsf c\) only means one thing, A complement, and is always clear. For this reason I prefer that notation.

Answer 6

Okay, well thank you for explaining that:)