what is |{k ε Z : k|12 }| ?

Question

amistre64 · Answer

k is an integer that divides into 12

star · Answer

it's not k/12 it is a | sign which is similar to a given sign

amistre64 · Answer

that means that k divides 12

amistre64 · Answer

k goes into 12 how many times ..... is what the notation means :)

amistre64 · Answer

k = 1,2,3,4,6

amistre64 · Answer

and 12 ... forgot 12 lol

anonymous · Answer

It's asking for the cardinality of that set

amistre64 · Answer

cardinality eh ....

star · Answer

yes cardinality of that set

anonymous · Answer

If S is a finite set then |S| is the number of elements in the set.

anonymous · Answer

Are you sure its the integers and not the positive integers?

amistre64 · Answer

thought it was absolute values of the set of keZ such that k|12

wouldnt it be more than 6 then since negative numbers are part of the set of integers?

star · Answer

i'm sure it is integers (Z) and not only positive integers. i'm copying this from one of my exam questions

amistre64 · Answer

is the notation correct for finding the cardinality?

amistre64 · Answer

ive never come across it as such is why i ask

anonymous · Answer

Yes... |S| is the cardinality of the set S

anonymous · Answer

Alright, then I would say the answer is 12

anonymous · Answer

$$|\{1, 2, 3, 4, 6, 12, -1, -2, -3, -4, -6, -12\}| = 12$$

star · Answer

thank you :)