MTH 314 Midterm: MTH314 - F2003 Midterm
Document Summary
1. p q q r r q. Valid since all critical rows (rows 5 and 6), have the conclusion true: let a = {x r | 2 < x < 3}, b = {x n | x 3}. 3. (a) rewrite the following in if-then form: Working hard is a necessary condition for obtaining an a+ in mth314. If you don"t work hard then you won"t get an a+ in mth314. or if you got an a+ in mth314 then you worked hard. (b) write the contrapositive of the following statement: Studs is a criminal if he"s a billionaire. If studs is not a criminal then he is not a billionaire. (c) give a counterexample to show that the following statement is false. N n, m n s. t. n = m + 1. Negation: n n, m n s. t. n 6= m + 1.
