How Do you write "A is the set of even whole numbers less than 12" in the notation builder?

Question

parthkohli · Answer

$$\{\mbox{name of the set}:\mbox{condition}\}$$

anonymous · Answer

can you write it for me? i still don't understand

parthkohli · Answer

What do you call the set of even whole numbers?

anonymous · Answer

PartKohli? please help

parthkohli · Answer

Yes, I am helping ya. :-)

anonymous · Answer

Great,Thanks a bunch! you're very nice :D

anonymous · Answer

my problem is i don't know how to write it
is it like this:
A={x|x<...,x $$\in $$ ...}

(note that "...." means i don't know what to put in there)

parthkohli · Answer

$$2\mathbb Z$$is the set of even numbers.

parthkohli · Answer

Where are you exactly stuck...?

anonymous · Answer

um,i'm stuck in the "..." part.. what should i write there?

aravindg · Answer

there you should write where the element belongs to

aravindg · Answer

and also include any condition if present

parthkohli · Answer

$x$ is more than or equal to $0$ and less than or equal to $12$.

parthkohli · Answer

For example, you can write the set of first ten natural numbers as:$$\{x\in\mathbb N: x \le 10\}$$

anonymous · Answer

i  see! Tx you two! you guys are very nice for a newcomer like me,haha! well,Tx Again!

parthkohli · Answer

Can you do it now? :-)

anonymous · Answer

hmm,kind off... well,Tx!

aravindg · Answer

for example if you are asked to write set of all even numbers you can write it as

A={ x:x=2n ;n $\in$ N} 

N is set oof all natural numbers

aravindg · Answer

*of

aravindg · Answer

yw :)

parthkohli · Answer

Nah, I'd just use$$A = \{x:x\in2\mathbb Z \}$$And BTW, @AravindG, it should be the set of integers :-)

aravindg · Answer

I wanted to make it clear ..in schools we are first taught in that fashion ,then we play with it :) @ParthKohli

parthkohli · Answer

But even numbers belong to the set of integers, not only N.

aravindg · Answer

*corrected :positive even numbers