How to do a range query to match all greater than X

How to do a range query to match all greater than X?

for an example all that the delay field has a value greater than 3 as in the following example:

{ "range": 
          { 
            "delay": 
              {
                "gte": 3,
                "lt":  infinity
              } 
          }
        }

You can just leave out the "lt" field and the query will be unbounded on the upper bound.

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