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

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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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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