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SET-ROSTER NOTATION a. Let A be the set containing all prime numbers less than 30. List d elements of A. o. Is (2, 2) = (2, {2}}? c. How many elements are in the set {a, a, a, a, a}? EET-BUILDER NOTATION siven that Z denotes the set of all integers and N the set of all natural r escribe each of the following sets. a. {xEN|xs 10 and x is divisible by 3} o. {xEZ| xis prime and x is divisible by 2} e. {xS Z]x* = 4}

SET-ROSTER NOTATION a. Let A be the set containing all prime numbers less than 30. List d elements of A. o. Is (2, 2) = (2, {2}}? c. How many elements are in the set {a, a, a, a, a}? EET-BUILDER NOTATION siven that Z denotes the set of all integers and N the set of all natural r escribe each of the following sets. a. {xEN|xs 10 and x is divisible by 3} o. {xEZ| xis prime and x is divisible by 2} e. {xS Z]x* = 4}

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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SET-ROSTER NOTATION a. Let A be the set containing all prime numbers less than 30. List down the elements of A. b. Is (2, 2) = (2, {2}}? c. How many elements are in the set {a, a, a, a, a}? SET-BUILDER NOTATION Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of the following sets. a. {xEN| xs 10 and x is divisible by 3) b. {xEZ|xis prime and x is divisible by 2} c. (xCZ|x? = 4} SUBSETS Let B = {2, 4, 6, 8, 10}, C = {4, 8, 10}, and D = {x | x is even}. Answer the following questions. Give reasons for your answers. a. Is DC B? b. Is CC D? c. Is CC B? d. Is Ba proper subset of D? ORDERED PAIRS a. Is (-1), 13) = (1², (-1)°)? Explain. b. Is (J16, -) = (4, )? Explain. c. Is (-2', 0) = (-/16, 0)? Explain. CARTESIAN PRODUCTS Let A = (1, 2, 3, 4) and B = (0, 1). Use the set-roster notation to write each of the following sets, and indicate the number of elements that are in each set: а. Ахв b. ВХА с. АХА d. ВxB
Transcribed Image Text:SET-ROSTER NOTATION a. Let A be the set containing all prime numbers less than 30. List down the elements of A. b. Is (2, 2) = (2, {2}}? c. How many elements are in the set {a, a, a, a, a}? SET-BUILDER NOTATION Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of the following sets. a. {xEN| xs 10 and x is divisible by 3) b. {xEZ|xis prime and x is divisible by 2} c. (xCZ|x? = 4} SUBSETS Let B = {2, 4, 6, 8, 10}, C = {4, 8, 10}, and D = {x | x is even}. Answer the following questions. Give reasons for your answers. a. Is DC B? b. Is CC D? c. Is CC B? d. Is Ba proper subset of D? ORDERED PAIRS a. Is (-1), 13) = (1², (-1)°)? Explain. b. Is (J16, -) = (4, )? Explain. c. Is (-2', 0) = (-/16, 0)? Explain. CARTESIAN PRODUCTS Let A = (1, 2, 3, 4) and B = (0, 1). Use the set-roster notation to write each of the following sets, and indicate the number of elements that are in each set: а. Ахв b. ВХА с. АХА d. ВxB
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