MAT102H5 Study Guide - Qr Code

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14 Feb 2020
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MAT102H5 Full Course Notes
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MAT102H5 Full Course Notes
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Mat102s - intro. to mathematical proofs - winter 2020 - Quiz 2 (version a) - february 6, 2020. Make sure you have all of them: let a, b and c be arbitrary sets. Show that (a b) \ (b c) a (b \ c). (3 marks) Let x (a b) \ (b c). As follows from the de nition of set di erence we have that x (a b) and x / (b c). Hence, x a, x b, and x / (b c). Prove that the (3 marks) image of g equals to {0} n. Image(g) {0} n it is a basic fact that |z| 0 for all z r. {0} n image(g) let n {0} n. note that 1, n + 1 n and g(n + 1, 1) = |(n + 1) 1| = |n| = n. So n image(g): let f = {0, 1, a, b} be the the eld with 4 elements.