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# Sets - LearningObjectives Draw and interpret Venn diagrams...

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Learning Objectives Draw and interpret Venn diagrams of common set operations. State DeMorgan’s Laws in set notation and explain in both words and Venn diagrams. Determine the sample space of an experiment

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Sets set is a collection of objects, S elements are the objects in a set, x Notation S = { x 1 , x 2 , … x n } x i S (Element x i belongs to Set S ) Examples S = {a, e, i, o, u} (set of vowels) T = {Head, Tail} (set of outcomes of a coin toss) D = {1,2,3,4,5,6} (set of outcomes of a dice)
Set Notation “is a member of” Example: If S = {a, e, i, o, u} a S ( a belongs to S ) m S ( m does not belong to S ) subset T = {a, e} T S “such that” - S = { x | x satisfies a P} - read as, set S has elements x in it such that x satisfies a property P A = { n | 90 n 100} (set of scores for an A) (Set A has scores n such that 90 n 100) The number of elements in a set can be countable: N = { n | 0 < n < 5}, n is integer countable infinite: E = { k | k /2 is an integer}, k is an integer (set of even integers) uncountable: R = { x | 3 x 4}, x is real

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