Write each of the following three statements in symbolic form and determine which pairs are logically equivalent. Include truth tables and a few words of explanation.If it walks like a duck and it talks like a duck, then it is a duck.Either it does not walk like a duck or it does not talk like a duck, or it is a duck.If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Determine which pairs of statements are equivalent.Note: You should be able to do this without a truth table.i. If I am happy, then the Giants won.ii. If the Giants win, then I am happy.iii. If the Giants lose, then I am unhappy.iv. If I am unhappy, then the Giants lose.Select all that apply:A. ii and ivB. i and ivC. iii and ivD. i and iiE. ii and iiiF. i and iii

Which of these statements is logically equivalent to "You don't Love Hamburger or you are not American if you don't love Donuts"? Select one: O a. If you love Donuts then you are American and love Hamburger O b. You don't love Donuts, or you are American and love Hamburger O c. Both Answers

Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in electrical engineering. pqpqpq ~p → ~qqp ~q→ ~p TT FL וד F T T T T TF F T F T T F FT T FL T F FL T FF T T T T T T If it offers a degree in electrical engineering, then it is a university. If it is a university, then it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. It is a university, and it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. If it is not a university, then it does not offer a degree in electrical engineering. If it is a university, then it does not offer a degree in electrical engineering. It is a university, or it offers a degree in electrical engineering.