Question

Please respond to ALL questions!!

4. Rephrase the following statements in standard ”if.. then” form:

(a) ”We are buying a new TV only if the old TV breaks down.”

(b) ”In the United States, a good credit score is necessary for obtaining a loan.”

(c) Unless you make me a better offer, I will keep my current job.

(d) The observation of faster than light travel would be sufficient reason to question relativity theory.

5. Rephrase verbally in equivalent only if, sufficient, necessary, contrapositive and unless form: ”if we had an FTL drive, then we could visit the stars”.

6. Rephrase in contrapositive form:

(a) ”If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.” Your contrapositive must not contain explicit references to negation. Assume that the negation of ”unpleasant” is ”pleasant”.

(b) ”If x ≥ 0 and y ≥ 0 then xy ≥ 0” where x, y are real numbers.

Answer 1