Can you do greater than comparison on a date in a Rails 3 search?

Note.
  where(:user_id => current_user.id, :notetype => p[:note_type]).
  where("date > ?", p[:date]).
  order('date ASC, created_at ASC')

or you can also convert everything into the SQL notation

Note.
  where("user_id = ? AND notetype = ? AND date > ?", current_user.id, p[:note_type], p[:date]).
  order('date ASC, created_at ASC')

If you hit problems where column names are ambiguous, you can do:

date_field = Note.arel_table[:date]
Note.where(user_id: current_user.id, notetype: p[:note_type]).
     where(date_field.gt(p[:date])).
     order(date_field.asc(), Note.arel_table[:created_at].asc())

You can try to use:

where(date: p[:date]..Float::INFINITY)

equivalent in sql

WHERE (`date` >= p[:date])

The result is:

Note.where(user_id: current_user.id, notetype: p[:note_type], date: p[:date]..Float::INFINITY).order(:fecha, :created_at)

And I have changed too

order('date ASC, created_at ASC')

For

order(:fecha, :created_at)

If you aren't a fan of passing in a string, I prefer how @sesperanto has done it, except to make it even more concise, you could drop Float::INFINITY in the date range and instead simply use created_at: p[:date]..

Note.where(
    user_id: current_user.id,
    notetype: p[:note_type],
    created_at: p[:date]..
).order(:date, :created_at)

Take note that this will change the query to be >= instead of >. If that's a concern, you could always add a unit of time to the date by running something like p[:date] + 1.day..

Update

Rails core team decided to revert this change for a while, in order to discuss it in more detail. See this comment and this PR for more info.

I am leaving my answer only for educational purposes.

new 'syntax' for comparison in Rails 6.1 (Reverted)

Rails 6.1 added a new 'syntax' for comparison operators in where conditions, for example:

Post.where('id >': 9)
Post.where('id >=': 9)
Post.where('id <': 3)
Post.where('id <=': 3)

So your query can be rewritten as follows:

Note
  .where(user_id: current_user.id, notetype: p[:note_type], 'date >', p[:date])
  .order(date: :asc, created_at: :asc)

Here is a link to PR where you can find more examples.