MATH 1030-004, Homework 1 Fall 2013 Assigned 9/4/13 lC: 13-35 odd. These are posted for students who do not have a book. 13-27. Choose the first set in the list natural numbers, whole numbers, rational numbers, and real numbers that desribes the following numbers. 13. 23 15. 2/3 17. 1.2345 19. 7r 21. -34.25 23. 7r/4 25. -13/3 27. 7r / 129 29-35. U s e set notation (braces) to write the members of the following sets, or state the set has no members. 29. 31. 33. 35. The months of the year The states that share a border with Texas The perfect squares (such as 12 , 22 , 32) between 30 and 130 Odd numbers between 2 and 30 that are multiples of 3 lC: 37-61 odd, 70 37-43 Draw Venn Diagrams with two circles showing the relationship between the following pairs of sets. Provide an explanaion of the diagram you .drew. 37. 39. 41. 43. attorneys and men water and liquids novelists and athletes rational numbers and irrational numbers 45-51For the given categorical propositions, do the following: a.) If. necessary, rephrase the statement in standard form. b.) State the subject and predicate sets. c.) Draw a Venn Diagram for the proposition and label all regions of the diagram. d.) Based only on the Venn diagram (not on any other knowledge you have) , answer the question that follows each proposition. \\ 45. All widows are women. Can you conclude that some women are not widows? 47. All U .S. Presidents have been over 30 years old . Can you conclude that no one under 30 years old has been President? 49. Monkeys don't gamble Is it possible that some gamblers are monkeys?. 51. \\Vinners smile. Is it true that no frowners are winners? 53-57 Y.enn Diagrams for Three Sets. Draw Venn Diagrams with three overlapping circles (eight regions) for the following groups of three sets. Describe the members of each region or state that a region has no members. 53. women, dentists, and kindergarten teachers 55. published works, noveis, and songs 57. words that begin with S, verbs, and words with fewer than 4 letters. 59. Use Venn diagram (59) to answer the following questions: a.) How many women at the party are under 30? b.) How many men at the party are not under 30? c.) How many women are at the party? d.) How many people are "at the party? 61. The table (61) gives popular vote counts (in millions) for the two leading candidates in the 2012 U.S. presidential election. Draw a two-circle Venn diagram that represents the results. 70. In a trail of a new allergy medicine, 120 people were given the medicine and 80 were given a placebo. Of those given the medicine, 90 showed improveme nt in their allergies. Of those given the placebo, 20 did not show improvement. a. Make. a two-way table ummarizing the results. b. Make a Venn diagram from the table in part. c. How many people who received medicine did not improve? d. How many people who received the placebo improved? \f \f