MTH 314 Midterm: MTH314 - W2013 Midterm
Document Summary
Instructions: duration: 1. 5 hours item you are allowed one 8. 5 11 formula sheet (two-sided). The information on the sheet must be hand-written, with your own hand-writing: marks (out of) are shown in brackets. (a) all the answers on the test must be accompanied by a full explanation. Marks will not be given solely on a short answer. Show all your work. (b) write your solutions in the space provided. If you need more space, use the back of the page. [3 marks] (1) construct the truth table for p ( q r). q r p. [4 marks] (2) show that p (q r) is equivalent to ( q r) p. do not use the truth table. [5 marks] (3) show that the following argument is valid: (1) p s (2) p (q s) (3) u ( q r) (4) s r. Q u by using standard argument forms (modus ponens, modus tollens, etc. ) and logical equivalences.
