MAT102H5 Study Guide - Midterm Guide: Contraposition, Quadratic Equation
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MAT102H5 Full Course Notes
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Mat102 - intro. to mathematical proofs - fall 2016 - utm. Term test (version a) - october 20, 2016. You can use the back of page 5 for rough work. No explanation is needed for this part: write , or = to obtain a statement which is true for all real numbers x and y: (a) x2 + 2y2. |x| + |y| (1 mark) (1 mark: consider the following statement: R = ( x r) ( (|x 1| 2 ) (x z) ) (cid:0) 1 x2 1 9 (cid:1) . Write the negation of r using logic symbols but do not use the symbol ": (1 mark) For any real number c, the quadratic equation x2 + x + c4 = 0 has two distinct real solutions. R is false: let f ={0 , 1 , a} be a eld with three elements. Fill in the blanks with either 0, 1, or a. (2 marks)
