Simplify the following unions and intersections of intervals.

- anonymous

Simplify the following unions and intersections of intervals.

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- anonymous

\[\eta \cup \mathbb{R}\]

- anonymous

The N stands for a set of all natural numbers.

- anonymous

The R stands for a set of all real numbers.

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## More answers

- anonymous

what does
\[\eta\] stand for?

- anonymous

oh maybe
\[\mathbb N \cap \mathbb R\]

- anonymous

Yes it shows it like that except the U is facing up? And how did you post them like that i was looking for them.

- anonymous

\[\mathbb N \cap \mathbb R=\mathbb N\] since the natural numbers live inside the real numbers and
\[\mathbb N \cup \mathbb R=\mathbb R\] for the same reason

- anonymous

\mathbb N

- anonymous

Oh thanks and sorry i am sorta new to this site so don't know exactly how to post stuff correctly.

- anonymous

I have 2 more problems like this one sec.

- anonymous

that is ok, easier just to describe
the symbol pallet is only good for some things. i was showing off in latex

- anonymous

Oh what is latex? And how do i post and upside down unison like you did?

- anonymous

Hey satellite how do you post an upside down unison?

- anonymous

\cup

- anonymous

\cap

- anonymous

if you want to see any code, right click and it will show up. you can also copy and paste

- anonymous

\[A^c\cap B^c=(A\cup B)^c\]

- anonymous

Oh do i just click show format or what?\[\left[ 2,\infty)\cap(-4,7)\cap(-3,2 \right]\]

- anonymous

this is my next problem ^

- anonymous

so you are looking for what is in common to all three intervals. easy if you drew them

- anonymous

I think so yes...

- anonymous

|dw:1327692676456:dw|

- anonymous

the only number that
\[[2,\infty)\] and
\[(-3,2]\] have in common is 2

- anonymous

so that is the only number in the intersection

- anonymous

It says simplify the unions and intersections of intervals.

- anonymous

yes your answer is just one number: 2

- anonymous

Oh well that was simple so it is just what they have in common?

- anonymous

yeah intersection mean in both

- anonymous

\[(-4.8,-3.5)\cap \mathbb{Z}^+\]

- anonymous

this is last problem of these kind... don't mind + above Z it should just be Z

- anonymous

do you know what
\[\mathbb Z^+\] is? (nice looking isn't it?)

- anonymous

ah that is different.
\[\mathbb Z\] is all integers
\[\{...,-3,-2,1,0,1,2,3,...\}\]

- anonymous

In my book it stands for set of all integers.

- anonymous

so you are looking for all integers in the interval you have. how many are there?

- anonymous

i think only one in there is -4

- anonymous

Only one integer correct.

- anonymous

then that is the only one in the intersection

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