5. Rephrase in standard”if.. then” form: ”We are buying a new TV only ifthe old TV breaks down.If the old TV breaks down, then we are buying a new TV.6. Rephrase in standard ”if.. then” form: ”In the United States, a goodcredit score is necessary for obtaining a loan.”If you are obtaining a loan in the United States, then you must have a good credit score.7. Rephrase in contrapositive form: ”If you are taller than 6 ft, then it isunpleasant for you to travel in economy class.” Your contrapositive mustnot contain explicit references to negation. Assume that the negation of”unpleasant” is ”pleasant”.If you are not taller than 6 ft, then it is pleasant for you to travel in economy class. 8. Give a logically equivalent expression to ¬p → q that does not use theconditional. Justify your answer.

Robert Gonzalez - MAT 243 Week 1/7 Written Homework9. Use De Morgan to given an equivalent statement of ”It’s not true thatFinley is rich and famous.”p=richq=famous(pq) ⇔p ∨10. Write the formal negation of ∀x∃y(x > y). Your negation must not containany explicit negation symbols.q

11. Negate verbally: ”all people weigh at least 100 pounds.”