discrete_math_hw3

# discrete_math_hw3 - Each question is 4 pts unless indicated...

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Each question is 4 pts, unless indicated otherwise Q1. Exercise 8, p. 125, set in c) of exercise 7 Yes Q2. Exercise 8, p. 125, set in f) of exercise 7 No Q3. Exercise 10, p. 125, g) False Q4. Exercise 20, p. 126, d) 3 Q5. Exercise 26, p. 126 A C a A a C B D b B b D A×B={(a,b)∣a∈A,b∈B} C×D={(c,d)∣c∈C,d∈D} Hence, (a,b)∈A×B→(a,b)∈C×D if and only if A×B⊆C×D Q6. Exercise 40, p. 126 It is not the same because when A x (BxC) x D it is defined as ordered triples it is (a,(b,c),d) While (AxB)x(CxD) is of the form ((a,b),(c,d)) Q7. Exercise 44, p. 126, a) All positive integers Q8. Exercise 16, p.136 d) If x A then x B – A. Therefore there can be no elements in A (B – A), so A (B – A) = 0 . Q9. Exercise 18, p. 136, c) Let x (A − B) − C x (A − B) x / C by definition x A x / B x / C by definition x A x / C simplification x A – C =A-C

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Q10 Exercise 36, p. 137 Let p(x) be the proposition whose truth set is the set A
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