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List the members of the following sets: Use commas to separate the elements b) (A - B) = a). (A⋂B)= { { } } The set of letters in the English alphabetX= { x:x is an even natural number }State whether each of the following set are finite, infinite or null: label them using n, i or f A={…,−6,−4,−2,0,2,4,6,…}There are 19 hockey players in a club. On a particular day 14 were wearing the prescribed hockey shirts, while 11 were wearing the prescribed hockey pants. None of then was without hockey pants or a hockey shirt. How many of them were in complete hockey uniform? In an examination, 34% of the candidates fail in Arithmetic and 42% in English. If 20% fail in Arithmetic and English, what is the percentage of those passing in both subjects? % One Hundred Twenty-five (125) aliens descended on a film set as Extra Terrestrial Beings. 40 had two noses, 30 had three legs, 20 had four ears, 10 had two noses and three legs, 12 had three legs and four ears, 5 had two noses and four ears and 3 had all the three unusual features. How many were there without any of these unusual features? Which of the following sets is a universal set for the other four sets? The set of integers The set of natural numbers The set of negative numbers The set of odd natural numbers If ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {2, 4, 6, 8} B = {3, 5, 7} Find (a) A’ c) (b) (AUB) n(A ⋂ B) = = { { } } State whether true or false: Label using t or f Quadrilateral ⊆ polygon Integers ⊆ natural numbers If P = {1, 3, 9, 5, −7} and Q = {5, −7, 3, 1, 9,}, Choose the word which describes the relationship between the two sets Equal Equivalent Null Universal True or False: If A = B, then n(A) = n(B) True False neither If set A and B share the same cardinality, choose the best word to describe their relationship to each other. Equal Equivalent Overlapping Disjoint What is the name for two sets that do not share any common elements? Based on the information in the diagram, how many students play the guitar? How many students play both the drums and the guitar, but do not play the piano? Write the symbol for each number set in the box: Rational Numbers Integers Natural Numbers Real Numbers How many people like only Italian food? How many like Red Leicester but not edam? In a survey, Paul found that 33 people liked Blue Stilton, 38 liked Red Leicester, and 24 liked Edam If 15 people liked both Stilton and RedLeicester, 14 people liked Edam and Stilton, 12 people liked Red Leicester and Edam, and 9 liked all the three products. Find how many liked Edam only? How many people were surveyed? Find: W - R (W U R)' Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, how many students are in neither class? What percentage of students are in at least one class? % |