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g. 10-12 Given that Z denotes the set of all integers and N the set of all na describe each of the following sets by listing the elements. a. {xEN|xs 12 and x is divisible by 2) b. {x EZ |x is prime and x is divisible by 2} C (XCZ |X = 16) %3D n 7 9) and D = {x| x is odd). Answer the following %3D

g. 10-12 Given that Z denotes the set of all integers and N the set of all na describe each of the following sets by listing the elements. a. {xEN|xs 12 and x is divisible by 2) b. {x EZ |x is prime and x is divisible by 2} C (XCZ |X = 16) %3D n 7 9) and D = {x| x is odd). Answer the following %3D

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 33EQ
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 Given that Z denotes the set of all integers and N the set of all natural numbers. describe each of the following sets by listing the elements.

1. {X E NI X < 12 and x is divisible by z}

2. {X E ZI x is prime and x is divisible by z}​

3. {X E ZI x squared = 16 }​

g. How many elements are in the set {x,x,x,x,X,X,x}? 10-12. Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of the following sets by listing the elements. a. {xEN|XS 12 and x is divisible by 2) b. {x EZ x is prime and x is divisible by 2) C (XCZ X = 16) 7 0 Ca 13 7, 91), and D = {x|x is odd). Answer the following
Transcribed Image Text:g. How many elements are in the set {x,x,x,x,X,X,x}? 10-12. Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of the following sets by listing the elements. a. {xEN|XS 12 and x is divisible by 2) b. {x EZ x is prime and x is divisible by 2) C (XCZ X = 16) 7 0 Ca 13 7, 91), and D = {x|x is odd). Answer the following
24. 6) is related to more than one element in {1, 3 , 5). When these properties are stated in terms of the arrow diagram, they become (1) there is an arrow coming out of each element of the domain, and (2) no element of the domain has more than one arrow coming out of it. So you can write T(2) ons . IV.Exercises/Written Activities/ Performance Tasks: Fil in the blanks using a variable or variables to rewrite the given statement. 1-2. Is there a real number whose square root is -1? a. Is there a real number x such that. aw b. Does there exist such that vx = 1 3-6. Given any real number, there is a real number that is lesser. Given any real number r, there is C. S such that sis d. For any such that s<r. 7-9 e. Let A be the set containing all prime numbers less than 20. List down all elements of A. f. Is (3,3} = (3,(3}} ? g. How many elements are in the set (x,x,x,x,X,X,x}? 10-12. Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of the following sets by listing the elements. a. {xEN|xs 12 and x is divisible by 2) b. {x EZ xis prime and x is divisible by 2)} C. {XCZ|X = 16) 13-16. Let B= (1, 2, 5, 7, 9), C= (3, 7, 9), and D= {x|x is odd). Answer the following questions. h. Is D B? 374 BWS OMN
Transcribed Image Text:24. 6) is related to more than one element in {1, 3 , 5). When these properties are stated in terms of the arrow diagram, they become (1) there is an arrow coming out of each element of the domain, and (2) no element of the domain has more than one arrow coming out of it. So you can write T(2) ons . IV.Exercises/Written Activities/ Performance Tasks: Fil in the blanks using a variable or variables to rewrite the given statement. 1-2. Is there a real number whose square root is -1? a. Is there a real number x such that. aw b. Does there exist such that vx = 1 3-6. Given any real number, there is a real number that is lesser. Given any real number r, there is C. S such that sis d. For any such that s<r. 7-9 e. Let A be the set containing all prime numbers less than 20. List down all elements of A. f. Is (3,3} = (3,(3}} ? g. How many elements are in the set (x,x,x,x,X,X,x}? 10-12. Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of the following sets by listing the elements. a. {xEN|xs 12 and x is divisible by 2) b. {x EZ xis prime and x is divisible by 2)} C. {XCZ|X = 16) 13-16. Let B= (1, 2, 5, 7, 9), C= (3, 7, 9), and D= {x|x is odd). Answer the following questions. h. Is D B? 374 BWS OMN
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