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Given the following sets, determine C n F. U=(0,1,2,3,4,5.... C = {1,2,3,4,...) F = (3,6,9,12,...} Choose the correct answer below. OA. COF= ({3} OB. COF=(3,6,9,12,...} O'c. cnF=(0,1,2,3,4,5,...) OD. cnF={(1,2,3,4,...) OE. COF=Ø

Given the following sets, determine C n F. U=(0,1,2,3,4,5.... C = {1,2,3,4,...) F = (3,6,9,12,...} Choose the correct answer below. OA. COF= ({3} OB. COF=(3,6,9,12,...} O'c. cnF=(0,1,2,3,4,5,...) OD. cnF={(1,2,3,4,...) OE. COF=Ø

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Set Theory - Intersection of Sets **Exercise: Determining \( C \cap F \)** **Given the following sets, determine \( C \cap F \):** - \( U = \{0, 1, 2, 3, 4, 5, \ldots\} \) - \( C = \{1, 2, 3, 4, \ldots\} \) - \( F = \{3, 6, 9, 12, \ldots\} \) **Choose the correct answer below:** - **A.** \( C \cap F = \{3\} \) - **B.** \( C \cap F = \{3, 6, 9, 12, \ldots\} \) - **C.** \( C \cap F = \{0, 1, 2, 3, 4, 5, \ldots\} \) - **D.** \( C \cap F = \{1, 2, 3, 4, \ldots\} \) - **E.** \( C \cap F = \emptyset \) **Explanation:** For this exercise, we are asked to find the intersection of two sets \( C \) and \( F \). The intersection of two sets contains all elements that are common to both sets. - Set \( C \) is the set of positive integers: \( \{1, 2, 3, 4, \ldots\} \). - Set \( F \) is the set of multiples of 3: \( \{3, 6, 9, 12, \ldots\} \). The common elements in both \( C \) and \( F \) are: \( \{3, 6, 9, 12, \ldots\} \). Therefore, the correct option is: > **B.** \( C \cap F = \{3, 6, 9, 12, \ldots\} \)
Transcribed Image Text:### Set Theory - Intersection of Sets **Exercise: Determining \( C \cap F \)** **Given the following sets, determine \( C \cap F \):** - \( U = \{0, 1, 2, 3, 4, 5, \ldots\} \) - \( C = \{1, 2, 3, 4, \ldots\} \) - \( F = \{3, 6, 9, 12, \ldots\} \) **Choose the correct answer below:** - **A.** \( C \cap F = \{3\} \) - **B.** \( C \cap F = \{3, 6, 9, 12, \ldots\} \) - **C.** \( C \cap F = \{0, 1, 2, 3, 4, 5, \ldots\} \) - **D.** \( C \cap F = \{1, 2, 3, 4, \ldots\} \) - **E.** \( C \cap F = \emptyset \) **Explanation:** For this exercise, we are asked to find the intersection of two sets \( C \) and \( F \). The intersection of two sets contains all elements that are common to both sets. - Set \( C \) is the set of positive integers: \( \{1, 2, 3, 4, \ldots\} \). - Set \( F \) is the set of multiples of 3: \( \{3, 6, 9, 12, \ldots\} \). The common elements in both \( C \) and \( F \) are: \( \{3, 6, 9, 12, \ldots\} \). Therefore, the correct option is: > **B.** \( C \cap F = \{3, 6, 9, 12, \ldots\} \)
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