Question

Determine whether each set is finite or infinite.
The set of fractions between 1 and 2.

Answer 1

what do you think:-
suppose we take 2 fraction between 1 and 2
1/b and 1/ c we can find another fraction half way between these 2 = (b + c)/ 2bc. Then if we like find another fraction between 1/b and the last fraction or between 1/c and that fraction and carry on in a similar way ad infinitum

Answer 2

- actually i just realised I'v dealt with fractions between 0 and 1 in my last post

Answer 3

but the same reasoning applies to fractions between any 2consecutive integers

Answer 4

I responded to the same question by the OP yesterday. Maybe a stronger hint is needed

http://openstudy.com/users/juana02#/updates/54a405d6e4b0b8a54fb09452

Answer 5

yes

Answer 6

@juana02 Are you thinking finite or infinite on this question?

Answer 7

both

Answer 8

The set cannot be both finite and infinte.

Answer 9

the question is asking to determine if set is finite or infinite?

Answer 10

Yes.

Answer 11

can you help me find the set of fractions betwwen 1 and 2?

Answer 12

There is no way to list all of them because the set is ___?_____