Like is a string comparison operator. I do not think you can use it for date or numeric data types (unless maybe you coerce them to strings first).
For dates, use >= or <= or BETWEEN. However, BETWEEN causes the date to be cut off at midnight of the second date value, thus a record time stamped at 1:00 A.M. would not be returned where the date field value contains the time portion of the date.
The more we hear silence, the more we begin to think about our value in this universe.
Paraphrase of Professor Brian Cox.