I know this is not right place to post this question.
Please help me
I will notate & for "and" and ^ for "or"
[Editor: Instead, let's use MathJax to notate $\land$ for "and" and $\lor$ for "or" ]
$A$: I got A, $B$: I went to school.
$\neg(A\lor B)$ = Neither I got A nor did I go to school.
which is equivalent to $\neg A\land \neg B$ = I did not get A and I did not go to school.
But what I have trouble is
$\neg A\lor \neg B$ is I did not get A or I did not go to school.
which is equivalent to $\neg (A\land B)$ . but , I do not know how to translate $\neg (A\land B)$ into 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 $A\land B$ ?