postgres ANY() with BETWEEN Condition - postgresql

Question

in case someone is wondering, i am recycling a different question i answered myself, because is realized that my problem has a different root-cause than i thought:
My question actually seems pretty simple, but i cannot find a way.
How do is query postgres if any element of an array is between two values?
The Documentation states that a BETWEEN b and c is equivalent to a > b and a < c
This however does not work on arrays, as
ANY({1, 101}) BETWEEN 10 and 20 has to be false
while
ANY({1,101}) > 10 AND ANY({1,101}) < 20 has to be true.
{1,101} meaning an array containing the two elements 1 and 101.
how can i solve this problem, without resorting to workarounds?
regards,
BillDoor
EDIT: for clarity:
The scenario i have is, i am querying an xml document via xpath(), but for this problem a column containing an array of type int[] does the job.
id::int | numbers::int[] | name::text
1 | {1,3,200} | Alice
2 | {21,100} | Bob
I want all Names, where there is a number that is between 20 and 30 - so i want Bob
The query
SELECT name from table where ANY(numbers) > 20 AND ANY(numbers) < 30
will return Alice and Bob, showing that alice has numbers > 20 as well as other numbers < 30.
A BETWEEN syntax is not allowed in this case, however between only gets mapped to > 20 AND < 30 internally anyways
Quoting the docs on the Between Operators' mapping to > and < documentation:
There is no difference between the two respective forms apart from the
CPU cycles required to rewrite the first one into the second one
internally.
PS.:
Just to avoid adding a new question for this: how can i solve
id::int | numbers::int[] | name::text
1 | {1,3,200} | Alice
2 | {21,100} | Alicia
SELECT id FROM table WHERE ANY(name) LIKE 'Alic%'
result: 1, 2
i can only find examples of matching one value to multiple regex, but not matching one regex against a set of values :/. Besides the shown syntax is invalid, ANY has to be the second operand, but the second operand of LIKE has to be the regex.

Answer 1

exists (select * from (select unnest(array[1,101]) x ) q1 where x between 10 and 20 )
you can create a function based on on this query
second approach:
select int4range(10,20,'[]') #> any(array[1, 101])
for timestamps and dates its like:
select tsrange( '2015-01-01'::timestamp,'2015-05-01'::timestamp,'[]') #> any(array['2015-05-01', '2015-05-02']::timestamp[])
for more info read: range operators