Question 1019060
if you have trouble with the symbols, just write it out in english.


demorgan's laws states:


not (A or B) = not A and not B.


not (A and B) = not A or not B.


your problem statement is:


~(p\/q) is equivalent to ~p V ~q to write an equivalent English state ment for the statement.
It is not true that apples and beets are both fruits. 


i translated this to:


not (p and q) is equivalent to not p or not q.


assuming that's true, then the english statement of:


it is not true that apples and beets are both fruits


can also be stated as:


it is not true that apples are not fruits or that beets are not fruits.


this follows the form of demorgan's law shown above, that is:


not (A and B) = not A or not B.