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# Name____________________ MTH 287 Graded HW #4 (due Monday July 25, 2016) Show any work along with the answers on this paper. 1) Show that the

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Name____________________ MTH 287 Graded HW #4 (due Monday July 25, 2016) Show any work along with the answers on this paper. 1) Show that the cardinality of the negative even numbers is the same as all of the odd numbers. Bonus A) How many functions are there of the form: gG± = ²G + ³ , where m and b are real numbers? How do you know? 2) Given the Hasse diagram, for the Poset, find the following: a) minimal elements b) minimum elements c) maximal elements d) maximum elements e) glb(y,b) f) lub(z,c) g) Does x relate to m? h) Does z relate to b?
3) Given the Hasse diagram, for the Poset, find the following: i) minimal elements j) minimum elements k) maximal elements l) maximum elements m) glb(a,f) n) lub(g,f) o) Does h relate to a? p) Does g relate to e? 4) Given the Hasse diagram, for the Poset, find the following: a) minimal elements b) minimum elements c) maximal elements d) maximum elements e) glb(c,g) f) lub(e,b) g) Does h relate to c? h) Does d relate to a?
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QUESTION 1
Show that the cardinality of the negative even numbers is the same as all of the odd numbers. Bonus A) How many functions are there of the form: (x) = mx + b, where m and b are real...

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