1. Set problems

I've attached the file. I only need help with f), g), h), i), j), k)

2. Originally Posted by brumby_3
I've attached the file. I only need help with f), g), h), i), j), k)

3. Hi there,
Oh dear, I don't know what to do about that It's a bit hard to type out because of all the symbols. Hmm...

Sorry but I can't upload the file, it won't seem to work for me. Maybe I could email it to you?

4. Originally Posted by brumby_3
Hi there,
Oh dear, I don't know what to do about that It's a bit hard to type out because of all the symbols. Hmm...

Sorry but I can't upload the file, it won't seem to work for me. Maybe I could email it to you?
Can you just try to type some of the ones your are really having trouble with?

You don't have to do LaTeX if you can't. just do things like

X v Y for union and X ^ Y for intersection. X' for compliment, etc.

5. Yfrog - problemrw

Let me know if this link works.

6. Originally Posted by brumby_3
Yfrog - problemrw

Let me know if this link works.
It does!

I'll help you with f, g. Try the rest and get back to us.

f) is the set of all real numbers $x$ such that $x^2\not <2$ and $x^2\not >2$. Think about it, this is saying that $x^2\leqslant 2$ and $x^2\geqslant 2$ and so $x^2=2\implies x=\pm\sqrt{2}$

g) Notice that $E$ and $D$ are disjoint and so every thing that is in $E$ that isn't in $D$ is just $E$. And so, $\mathbb{R}-\left(E-D\right)=\mathbb{R}-E$ and so it's all the numbers for which $x^2\not >2\implies x\in [-\sqrt{2},\sqrt{2}]$

7. f) Read it as "The reals, excluding those in E, excluding those in D".

g) Read it as "The reals, excluding (those in E, excluding those in D)". What do you think the brackets mean?

h) Read it as "The rationals, excluding those in the Reals" (what do you think THAT would leave?) or those in C.

i) Read it as "Everything that is in C and not in A".

j) Read it as "Everything in E and not in D"

k) Read it as "Everything in A or not in B".

8. Hmm just figuring out h, rationals minus the reals equals nothing because reals include all rational numbers.

9. Originally Posted by brumby_3
Hmm just figuring out h, rationals minus the reals equals nothing because reals include all rational numbers.
Right, so you have to choose from either an empty set, or C.

What do you think you're going to have to choose from?

10. Hi Prove it,
The answer is just C, right?
I'm having some problems with the remaining questions - so for i), it's what's in C and not what's in A, so how do I get the answer to this? So 0 and 1 in C are gone, so how do I write the answer? It's the inequalities that are messing me up.

11. Originally Posted by brumby_3
Hi Prove it,
The answer is just C, right?
I'm having some problems with the remaining questions - so for i), it's what's in C and not what's in A, so how do I get the answer to this? So 0 and 1 in C are gone, so how do I write the answer? It's the inequalities that are messing me up.
What elements are in C and also not in A?