MAT102H5 Study Guide - Midterm Guide: Contraposition
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MAT102H5 Full Course Notes
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Mat102 - intro. to mathematical proofs - winter 2014 - utm. Term test (version a) - february 26, 2014 - solutions. No explanation is needed for this part: what is the image of the function f : r r , f (x) = The image of f is the interval (cid:0)0 , 1. R = ( x q)( n n)(n x z) . (2 marks) Use the logic symbols (but do not use the negation symbol "). ( x q)( n n)(n x 6 z) R is false: write the contrapositive of the following statement (in words). (2 marks) If anna is failing both history and psychology, then anna is not graduating. If anna is graduating, then anna is passing history or psychology: let f = {0 , 1 , a , b} be a eld with four elements. (2 marks) List all the elements in f which satisfy the equation x x x = 1 .
