Which is the negation of the following statement?
?m ? Z such that ?n ? Z, mn is divisible by 7 or m + n is odd.
(Hint: It is helpful to write the statement in a symbolic form
?m ? Z such that ?n ? Z, P(m, n) ? Q(m, n).
Use De Morgan's Laws to determine the negation of P(m, n) ? Q(m, n).)
?m ? Z such that ?n ? Z, mn is not divisible by 7 or m + n is even.
?m ? Z, ?n ? Z such that mn is not divisible by 7 and m + n is even.
?m ? Z such that ?n ? Z, mn is not divisible by 7 and m + n is even.
?m ? Z, ?n ? Z such that mn is not divisible by 7 or m + n is even.