Hi and welcome to the forums. You didn't provide a lot of details here but I think something like this might be close.
select [YourColumnsHere]
from TableA a
join TableB b on a.Date >= b.StartDate and a.Date < b.EndDate and a.Type <> b.Type
FWIW, I hope your real columns are named better and you have some normalization on things like Type. At the very least you should provide some kind of info in your names. Type is meaningless but something like ProductType of whatever gives a lot more clarity.
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