Discrete Mathematics Predicates and Quantified Statements lI Reading Worksheet-Section 3.2 Answer all questions neatly on another sheet of paper. Please skip lines. 1. Write the negation symbolically: Vy E D,PO) 3. 4. 5. 6. Write the negation symbolically: 3 g E G such that R(g) Write the negation symbolically: Vx, P(x)0(x) Write the negation in words: All prime numbers are odd. Write the negation in words: There is at least one journalism major in the class. Write the negation in words: For all pairs of real numbers (x,y), if x and y are irrational, then the product xy is irrational. Give a counterexample to show that the original statement in #6 is false. Write in IF-THEN form: Earning a C in a prerequisite course is sufficient to register for 7. 8. the following course 9. Write in IF-THEN form: Being at least 35 years old is a necessary condition for being president of the United States. 10. Write the inverse of the following statement symbolically: Vx E D, ~ P(x) -Q(x) 11. Write the contrapositive of the following statement in words: For all US citizens x. if x is younger than 18 years, then x cannot vote