MAT102H5 Study Guide - Midterm Guide: Contraposition

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2 Oct 2018
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MAT102H5 Full Course Notes
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No explanation is needed for this part: give an example of a set a, for which a [ 5, 2] = a z and a z(cid:54)= . (2 marks) Possible answers are: a = ( 6, 5] or a = [ 2, 1) or a =(cid:2) 2, 3. 2 (cid:3) { 5, 4, 3: for what value (or values) of x r is the following statement false ? (2 marks) |x 4| = 2 , then |x 3| = 1 . Use the logical symbols (but do not use the negation symbol "). R = ( x r)( y r)(cid:2)(x y)2 (cid:54)= x2 y2(cid:3) In a eld f ={0, 1, x} with three elements, we have. Part ii (9 marks: prove that if x and y are two positive real numbers, then x + y (cid:54)= y . x + (hint: contrapositive. )

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