Find if a date contained in one range is present in another range

I am trying to create a formula with a yes/no type outcome for the attached problem.

I have 2 date ranges and I want to know if any of the dates in the first range are contained within the second range.

I am using excel 2016 and do not want to use macros, just excel formulas.

Thank you! 

Dates Proposed (Range 1):  01-Feb-21  to  07-Feb-21
Dates Expected (Range 2):  01-Jan-21 to  01-May-21

Question: Are any of the dates in range 1 in range 2? If so, then return "Y"

Must also work the same if there is overlap ie.
Dates Proposed (Range 3):  23-Dec-20 to  02-Jan-21
Dates Proposed (Range 4):  01-Jan-21 to  01-May-21