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Math245Quiz2Sum00

# Math245Quiz2Sum00 - Math 245 Name QUIZ 2 SECTIONS 1.4-1.7...

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Math 245 Name: ________________________ QUIZ 2 SECTIONS 1.4-1.7: BASIC STRUCTURES 1) Let T be the set { x | x is a prime number between 2 and 20, inclusive}. Remember that a prime number is an integer greater than 1 that is divisible by no positive integer other than 1 and itself. (4 points) a) Write down the elements of T . b) What is the cardinality of T (denoted " T ")? 2) Let S be the set {Al, George, Pat, Ralph}. (10 points; 2 points each) a) True or False: ∅ ∈ S ________ b) True or False: ∅ ⊆ S ________ c) Let P ( S ) be the power set of S . What is P S ( ) ? d) True or False: ∅ ∈ P ( S ) ________ e) True or False: ∅ ⊆ P ( S ) ________

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3) If the cardinality of the set A is m and the cardinality of the set B is n , where m and n are both nonnegative integers, what is the cardinality of P A × B ( ) , the power set of A × B , in terms of m and n ? (6 points) 4) Let the universal set U be x x Z and 1 x 10 { } . Let A 1 be the set {1, 2, 3, 4, 5}. Let A 2 be the set {2, 4, 6, 8, 10}. Let A 3 be the set {1, 2, 10}. For each of a) through e), write down the elements of the set.
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Math245Quiz2Sum00 - Math 245 Name QUIZ 2 SECTIONS 1.4-1.7...

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