Do not copy from online. Need original answers. Instructions attached
Do not copy from online. Need original answers. Instructions attached. Answer both documents
1Homework 41.Enumerate the elements of the following sets: (20 points, 2 parts- 10 points each)a.{x: x is an odd positive integer less than 13}b.{y: y is a positive integer that is a multiple of 4 and greater than 10 but less than25}2.What is the cardinality of each of the following sets: (20 points, 2 parts- 10 points each)a.{ 5, 1, 18, 23, 14}b.The set of all odd integers3.Given the following two sets, A = {1, 2, 3} and B = {a, b, c}, what are the followingCartesian product sets: (20 points, 2 parts- 10 points each)a.A × Bb.B × A4.Indicate whether each of the following define partitions on the set of integers. Explainyour answer. (20 points, 4 parts – 5 points each)a.The sets of odd and even integersb.The sets of positive and negative integersc.The set of integers greater than 100 and the set of integers less than 200d.The set of all integers5.Use Venn diagrams to determine whether each of the following is true or false: (20points, 2 parts – 10 points each)a.(A∪B) ∩ C = A∪(B ∩ C)b.A ∩ (B∪C) = (A ∩ B)∪(A ∩ C)Grading Rubric:QuestionMeetsDoes not MeetQuestion 120 pointsInnovative and correct method ofsolution.0 pointsSolution not described, or notcorrect.
2Calculations and supportingevidence are complete and correctfor the problem.Solution is neat, well-organizedand well-written.Calculations and supportingevidence are incorrect or notpresent.Solution is unorganized andpoorly written.Question 220 pointsInnovative and correct method ofsolution.Calculations and supportingevidence are complete and correctfor the problem.Solution is neat, well-organizedand well-written.0 pointsSolution not described, or notcorrect.Calculations and supportingevidence are incorrect or notpresent.Solution is unorganized andpoorly written.Question 320 pointsInnovative and correct method ofsolution.Calculations and supportingevidence are complete and correctfor the problem.Solution is neat, well-organizedand well-written.0 pointsSolution not described, or notcorrect.Calculations and supportingevidence are incorrect or notpresent.Solution is unorganized andpoorly written.Question 420 pointsInnovative and correct method ofsolution.Calculations and supportingevidence are complete and correctfor the problem.Solution is neat, well-organizedand well-written.0 pointsSolution not described, or notcorrect.Calculations and supportingevidence are incorrect or notpresent.Solution is unorganized andpoorly written.Question 520 pointsInnovative and correct method ofsolution.Calculations and supportingevidence are complete and correctfor the problem.Solution is neat, well-organizedand well-written.0 pointsSolution not described, or notcorrect.Calculations and supportingevidence are incorrect or notpresent.Solution is unorganized andpoorly written.
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