Write the negation for each statement. 1. 6-3-3 2. All men were created equal. 3. Some members of the class went on the field trip. 4. If I fall in love, it will be forever. 5. She applied and did not get a student loan. Let p represent "You will love me" and q represent "I will love you." Write each statement in symbols. 6. If you won't love me, then I will love you. 7. I will love you if you will love me. 8. I won't love you if and only if you won't love me. Using the same statements for Exercise 6-8, write each of the following in words. 9. "p^q 10. ~[pv"q) In each of the following, assume that p is true and q and r are true. Find the truth value of each statement. 11. ~qar 12. rv (p * ~q)Construct a truth table for each of the following. 13. p*{~pvaq) 14. ~(p * q} ={*pv ~} Decide whether each statement is true or false. 15. Some negative integers are whole numbers. 16. All irrational numbers are real numbers. Write each conditional statement in if.. . .then form. 17. All integers are rational numbers. 18. Being a rhombus is sufficient for a polygon to be a quadrilateral. 19. Being divisible by 2 is necessary for a number to be divisible by 4. 20. 5he digs dinosaur bones only if she is a paleontologist. For the statement below, write (a} the converse [b) the inverse, and (c) the contrapositive 21. If a picture paints a thousand words, the graph will help me understand it