Question

{x|0≤x≤4 and x € ____} what belongs in that blank?

N
Z
Q
R

Answer 1

Hmm the question isn't very clear...

{x|0≤x≤4 and x € ___ }

The statement would read like:
`The set of values` `x` `such that` `x is between 0 and 4` `and` `x is a member of ___`

See how we have the `less than OR EQUAL TO`?
We normally don't include zero in the natural numbers, so it's probably not N.

Answer 2

There's not enough information though :(

You could define x to be:
the set of reals from 0 to 4 (R),
the set of integers from 0 to 4 (Z),
or even the set of rationals from 0 to 4 (Q)