please help with these

4. Negation (6 points) Let S(x, y) denote the statement "x has seen y" and D denote the set of all students in our class and M be the set of all movies (1) (2 points) Express the following English sentence as a quantified propo sition using the definitions above For every movie there is a pair of students in our class who have both seen it." Hint: Use three quantifiers for this one. This problem is similar to #3 (2) (2 points) Negate the quantified proposition you wrote for part (1) (i.e. place a in front of it). Use de Morgan's law for quantifiers to move the negation inside the quantifiers (3) (2 points) Translate you answer for part (2) back to plain English