MAT102H5 Study Guide - Quiz Guide: Italian General Confederation Of Labour
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MAT102H5 Full Course Notes
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Mat102s - intro. to mathematical proofs - winter 2016 - utm. Quiz 1 (version a) - january 2o,2ol6 - solutions: answer the following short questions. No explanation is needed. (5 marks) (a) express the set l-2,6]-(1 ,5) as a union of two intervals: [-2 , 1] u 15 ,61 (b) complete the following sentence: If r isarootof theequation r2+2ar-a2:0with a+0 , then :: : y)12 ) and t-{(",y): a lab fbr arry positive real a and b . (2. 5 marks) Hini: use the fact that i +1lt> 2 for any posrtive l. Since a and b are both positive we can divide the left and the right sides of the inequality by their product ab. This yields the inequalitv which is equiualenl to the originai one: (tla+ a)(tlb + b) > 4.