I will notate & for "and" and v for "or"
A: I got X
B: I went to school.
~(A v B) = Neither I got X nor did I go to school.
which is equivalent to ~A & ~B = I did not get X and I did not go to school.
But what I have trouble with is
~A v ~B is I did not get X or I did not go to school.
which is equivalent to ~(A & B), but I do not know how to translate ~(A & B) into an English sentence.
Can anyone help me?
Also, what is the difference between Both I love 1 and I love 2 and I love both 1 and 2?
Are both sentences equal to A & B ?