Is the statement {0} = true, or is it false? Explain.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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Is the statement {0} = true, or is it false? Explain.
Choose the correct answer below.
....
OA. The statement is false because there are elements of the set on the right that are not elements of the set on the left.
OB. The statement is false because the object on the left is a number but the object on the right is a set.
OC. The statement is false because the set on the left contains one element but the set on the right has no elements.
OD. The statement is true because both sets have exactly the same elements.
OE. The statement is true because both expressions denote the empty set.
OF. The statement is true because 0 and Ørepresent the same object.
Transcribed Image Text:Is the statement {0} = true, or is it false? Explain. Choose the correct answer below. .... OA. The statement is false because there are elements of the set on the right that are not elements of the set on the left. OB. The statement is false because the object on the left is a number but the object on the right is a set. OC. The statement is false because the set on the left contains one element but the set on the right has no elements. OD. The statement is true because both sets have exactly the same elements. OE. The statement is true because both expressions denote the empty set. OF. The statement is true because 0 and Ørepresent the same object.
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