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- 1. Write the interval of points that are less than -4: 2. Write the set of points from -5 to 2 but excluding -1 and 2 as a union of intervals:In volleyball, players on the same team rotate through all positions so no particular player is assigned a particular position. Suppose you are the coach of team which consists of twelve players and six players are on the court at any particular time. From how many differnt six player teams can you choose to the the court?Which of these collections of subsets are partitions of the set of integers? Explain your answer. The set of even integers and the set of odd intergers. The set of positive integers and the set of negative integers. The set of integers divisible by 3, the set of integers leaving a remainder of 1 when divided by 3, and the set of integers leaving a remainder of 2 when divided by 3. The set of integers less than -100, the set of integers with absolute value not exceeding 100, and the set of integers greater than 100. The set of integers not divisible by 3, then set of even integers, and the set of integers that leave a remainder of 3 when divided by 6.
- is the set [5,100] compact?Pick a subset from R and call it X. Let your mark on this final examination be x, prior to any bonus marks. The number of bonus marks added is b(x) given by:b(x) = 0, if x ∉ Xb(x) = (100−diam(X))/20 , if x ∈ XPlease state your chosen XHow many subsets does the set F = {3, 4, 5, 6, 7} have?
- Which of the following are partitions of the set of all students at University? Explain youranswer (a) the set of students who can speak a foreign language, the set of students who can play amusical instrument, the set of students who can’t do either. (b) the set of students who are New Zealanders, and the set of students who are not NewZealanders. (c) the set of students who study engineering, the set of students who study science, the setof students who study arts.What is the class width (i) if one of the class interval is 18-26?suppose X is a set with 132 elements that is partitioned into four subsets: X1, X2,X3, and X4. If X1 has twice as many elements as X4, X3 has twice as many elements as X2, and X2 has three times as many elements as X4, find the following values: n(X1), n(x2) ,n(X3) ,n(x4)