MTH 314 Midterm: MTH314 - W2014 Midterm
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Instructions: duration: 1. 5 hours, 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. [6 marks] (1) let p, q, and r be three statements. (p (q r)) ( q p) (p r) using the method of your choice. [6 marks] (2) use the truth-table to determine whether the following argument is valid: (p q) r p q. [4 marks] (3) prove that the following statement is true. Y r such that x z x2 > y.
