How would you do a “not in” query with LINQ?

You want the Except operator.

var answer = list1.Except(list2);

Better explanation here: https://docs.microsoft.com/archive/blogs/charlie/linq-farm-more-on-set-operators

NOTE: This technique works best for primitive types only, since you have to implement an IEqualityComparer to use the Except method with complex types.